101210210212122 has 72 divisors (see below), whose sum is σ = 241039626085440. Its totient is φ = 30669354922800.

The previous prime is 101210210212057. The next prime is 101210210212147. The reversal of 101210210212122 is 221212012012101.

101210210212122 is a `hidden beast` number, since 1 + 0 + 121 + 0 + 210 + 212 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101210210212095 and 101210210212104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191964847 + ... + 192491357.

It is an arithmetic number, because the mean of its divisors is an integer number (3347772584520).

Almost surely, 2^{101210210212122} is an apocalyptic number.

101210210212122 is an abundant number, since it is smaller than the sum of its proper divisors (139829415873318).

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

101210210212122 is a wasteful number, since it uses less digits than its factorization.

101210210212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614800 (or 614786 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101210210212122 its reverse (221212012012101), we get a palindrome (322422222224223).

The spelling of 101210210212122 in words is "one hundred one trillion, two hundred ten billion, two hundred ten million, two hundred twelve thousand, one hundred twenty-two".