10211201000000 has 1176 divisors, whose sum is σ = 34347186600384. Its totient is φ = 2908800000000.

The previous prime is 10211200999991. The next prime is 10211201000009. The reversal of 10211201000000 is 10211201.

It is an interprime number because it is at equal distance from previous prime (10211200999991) and next prime (10211201000009).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10211201000009) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 101100999950 + ... + 101101000050.

Almost surely, 2^{10211201000000} is an apocalyptic number.

10211201000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173593300192).

10211201000000 is an abundant number, since it is smaller than the sum of its proper divisors (24135985600384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211201000000 is an frugal number, since it uses more digits than its factorization.

10211201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10211201000000 its reverse (10211201), we get a palindrome (10211211211201).

10211201000000 divided by its reverse (10211201) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 1021 and 1201000000, that added together give a palindrome (1201001021).

The spelling of 10211201000000 in words is "ten trillion, two hundred eleven billion, two hundred one million", and thus it is an aban number.