101211200020000 has 480 divisors, whose sum is σ = 303874453048320. Its totient is φ = 32423569920000.

The previous prime is 101211200019977. The next prime is 101211200020001. The reversal of 101211200020000 is 20002112101.

It is a super-3 number, since 3×101211200020000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101211200020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125457922 + ... + 126262078.

It is an arithmetic number, because the mean of its divisors is an integer number (633071777184).

Almost surely, 2^{101211200020000} is an apocalyptic number.

101211200020000 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 101211200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151937226524160).

101211200020000 is an abundant number, since it is smaller than the sum of its proper divisors (202663253028320).

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

101211200020000 is an equidigital number, since it uses as much as digits as its factorization.

101211200020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804254 (or 804231 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101211200020000 its reverse (20002112101), we get a palindrome (101231202132101).

The spelling of 101211200020000 in words is "one hundred one trillion, two hundred eleven billion, two hundred million, twenty thousand".