101210101111112 has 128 divisors (see below), whose sum is σ = 226647383040000. Its totient is φ = 41427717720576.

The previous prime is 101210101111073. The next prime is 101210101111127. The reversal of 101210101111112 is 211111101012101.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 4875470189 + ... + 4875490947.

It is an arithmetic number, because the mean of its divisors is an integer number (1770682680000).

Almost surely, 2^{101210101111112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210101111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113323691520000).

101210101111112 is an abundant number, since it is smaller than the sum of its proper divisors (125437281928888).

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

101210101111112 is a wasteful number, since it uses less digits than its factorization.

101210101111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26283 (or 26279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101210101111112 its reverse (211111101012101), we get a palindrome (312321202123213).

The spelling of 101210101111112 in words is "one hundred one trillion, two hundred ten billion, one hundred one million, one hundred eleven thousand, one hundred twelve".