101210102100120 has 128 divisors (see below), whose sum is σ = 327004454750400. Its totient is φ = 24911886680064.

The previous prime is 101210102100119. The next prime is 101210102100143. The reversal of 101210102100120 is 21001201012101.

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 = 101210102100096 and 101210102100105.

It is a congruent number.

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, 26757144 + ... + 30304536.

Almost surely, 2^{101210102100120} is an apocalyptic number.

101210102100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210102100120 is an abundant number, since it is smaller than the sum of its proper divisors (225794352650280).

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

101210102100120 is a wasteful number, since it uses less digits than its factorization.

101210102100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565709 (or 3565705 counting only the distinct ones).

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

Adding to 101210102100120 its reverse (21001201012101), we get a palindrome (122211303112221).

The spelling of 101210102100120 in words is "one hundred one trillion, two hundred ten billion, one hundred two million, one hundred thousand, one hundred twenty".