100101011022120 has 32 divisors (see below), whose sum is σ = 300303033066720. Its totient is φ = 26693602939200.

The previous prime is 100101011022109. The next prime is 100101011022149. The reversal of 100101011022120 is 21220110101001.

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 = 100101011022096 and 100101011022105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417087545806 + ... + 417087546045.

It is an arithmetic number, because the mean of its divisors is an integer number (9384469783335).

Almost surely, 2^{100101011022120} is an apocalyptic number.

100101011022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101011022120 is an abundant number, since it is smaller than the sum of its proper divisors (200202022044600).

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

100101011022120 is a wasteful number, since it uses less digits than its factorization.

100101011022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834175091865 (or 834175091861 counting only the distinct ones).

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

Adding to 100101011022120 its reverse (21220110101001), we get a palindrome (121321121123121).

The spelling of 100101011022120 in words is "one hundred trillion, one hundred one billion, eleven million, twenty-two thousand, one hundred twenty".