10120210100000 has 1944 divisors, whose sum is σ = 34821746257788. Its totient is φ = 2882880000000.

The previous prime is 10120210099933. The next prime is 10120210100029. The reversal of 10120210100000 is 101202101.

It can be written as a sum of positive squares in 18 ways, for example, as 9038368806544 + 1081841293456 = 3006388^2 + 1040116^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 100200099950 + ... + 100200100050.

Almost surely, 2^{10120210100000} is an apocalyptic number.

10120210100000 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 10120210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410873128894).

10120210100000 is an abundant number, since it is smaller than the sum of its proper divisors (24701536157788).

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

10120210100000 is a wasteful number, since it uses less digits than its factorization.

10120210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 139 counting only the distinct ones).

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

Adding to 10120210100000 its reverse (101202101), we get a palindrome (10120311302101).

10120210100000 divided by its reverse (101202101) gives a 5-th power (100000 = 10⁵).

The spelling of 10120210100000 in words is "ten trillion, one hundred twenty billion, two hundred ten million, one hundred thousand".