120121210101000 has 128 divisors (see below), whose sum is σ = 376414763587200. Its totient is φ = 31892443372800.

The previous prime is 120121210100993. The next prime is 120121210101037. The reversal of 120121210101000 is 101012121021.

It is a super-2 number, since 2×120121210101000² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86737462 + ... + 88111461.

It is an arithmetic number, because the mean of its divisors is an integer number (2940740340525).

Almost surely, 2^{120121210101000} is an apocalyptic number.

120121210101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121210101000 is an abundant number, since it is smaller than the sum of its proper divisors (256293553486200).

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

120121210101000 is a wasteful number, since it uses less digits than its factorization.

120121210101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174849176 (or 174849162 counting only the distinct ones).

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

Adding to 120121210101000 its reverse (101012121021), we get a palindrome (120222222222021).

The spelling of 120121210101000 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand".