101010100120120 has 64 divisors (see below), whose sum is σ = 230152656384000. Its totient is φ = 39892065902208.

The previous prime is 101010100120103. The next prime is 101010100120121. The reversal of 101010100120120 is 21021001010101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101010100120097 and 101010100120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010100120121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308185849 + ... + 308513431.

It is an arithmetic number, because the mean of its divisors is an integer number (3596135256000).

Almost surely, 2^{101010100120120} is an apocalyptic number.

101010100120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010100120120 is an abundant number, since it is smaller than the sum of its proper divisors (129142556263880).

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

101010100120120 is a wasteful number, since it uses less digits than its factorization.

101010100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425252 (or 425248 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101010100120120 its reverse (21021001010101), we get a palindrome (122031101130221).

The spelling of 101010100120120 in words is "one hundred one trillion, ten billion, one hundred million, one hundred twenty thousand, one hundred twenty".