101011120100000 has 576 divisors, whose sum is σ = 274968612382464. Its totient is φ = 36218880000000.

The previous prime is 101011120099951. The next prime is 101011120100017. The reversal of 101011120100000 is 1021110101.

It is a happy number.

101011120100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29219298272 + ... + 29219301728.

It is an arithmetic number, because the mean of its divisors is an integer number (477376063164).

Almost surely, 2^{101011120100000} is an apocalyptic number.

101011120100000 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 101011120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137484306191232).

101011120100000 is an abundant number, since it is smaller than the sum of its proper divisors (173957492282464).

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

101011120100000 is a wasteful number, since it uses less digits than its factorization.

101011120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011120100000 its reverse (1021110101), we get a palindrome (101012141210101).

The spelling of 101011120100000 in words is "one hundred one trillion, eleven billion, one hundred twenty million, one hundred thousand".