10101001100120 has 64 divisors (see below), whose sum is σ = 26241776124480. Its totient is φ = 3427497271296.

The previous prime is 10101001100111. The next prime is 10101001100149. The reversal of 10101001100120 is 2100110010101.

It is a happy number.

10101001100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10101001100098 and 10101001100107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185926469 + ... + 185980788.

It is an arithmetic number, because the mean of its divisors is an integer number (410027751945).

Almost surely, 2^{10101001100120} is an apocalyptic number.

10101001100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101001100120 is an abundant number, since it is smaller than the sum of its proper divisors (16140775024360).

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

10101001100120 is a wasteful number, since it uses less digits than its factorization.

10101001100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371907372 (or 371907368 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101001100120 its reverse (2100110010101), we get a palindrome (12201111110221).

The spelling of 10101001100120 in words is "ten trillion, one hundred one billion, one million, one hundred thousand, one hundred twenty".