101210122202112 has 1056 divisors, whose sum is σ = 380678242074624. Its totient is φ = 25113430425600.

The previous prime is 101210122202099. The next prime is 101210122202131. The reversal of 101210122202112 is 211202221012101.

101210122202112 is a `hidden beast` number, since 10 + 1 + 210 + 12 + 220 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14477198937 + ... + 14477205927.

Almost surely, 2^{101210122202112} is an apocalyptic number.

101210122202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190339121037312).

101210122202112 is an abundant number, since it is smaller than the sum of its proper divisors (279468119872512).

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

101210122202112 is a wasteful number, since it uses less digits than its factorization.

101210122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945 (or 7924 counting only the distinct ones).

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

Adding to 101210122202112 its reverse (211202221012101), we get a palindrome (312412343214213).

The spelling of 101210122202112 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".