100101210210120 has 128 divisors (see below), whose sum is σ = 344286813139200. Its totient is φ = 22808099030016.

The previous prime is 100101210210049. The next prime is 100101210210139. The reversal of 100101210210120 is 21012012101001.

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 = 100101210210096 and 100101210210105.

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, 187696035 + ... + 188228594.

It is an arithmetic number, because the mean of its divisors is an integer number (2689740727650).

Almost surely, 2^{100101210210120} is an apocalyptic number.

100101210210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101210210120 is an abundant number, since it is smaller than the sum of its proper divisors (244185602929080).

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

100101210210120 is a wasteful number, since it uses less digits than its factorization.

100101210210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375924967 (or 375924963 counting only the distinct ones).

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

Adding to 100101210210120 its reverse (21012012101001), we get a palindrome (121113222311121).

The spelling of 100101210210120 in words is "one hundred trillion, one hundred one billion, two hundred ten million, two hundred ten thousand, one hundred twenty".