101120001012120 has 128 divisors (see below), whose sum is σ = 313166531450880. Its totient is φ = 26093757312000.

The previous prime is 101120001012077. The next prime is 101120001012127. The reversal of 101120001012120 is 21210100021101.

It is a super-2 number, since 2×101120001012120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101120001012096 and 101120001012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120001012127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55804755 + ... + 57588285.

It is an arithmetic number, because the mean of its divisors is an integer number (2446613526960).

Almost surely, 2^{101120001012120} is an apocalyptic number.

101120001012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120001012120 is an abundant number, since it is smaller than the sum of its proper divisors (212046530438760).

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

101120001012120 is a wasteful number, since it uses less digits than its factorization.

101120001012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798817 (or 1798813 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120001012120 its reverse (21210100021101), we get a palindrome (122330101033221).

The spelling of 101120001012120 in words is "one hundred one trillion, one hundred twenty billion, one million, twelve thousand, one hundred twenty".