101102212112112 has 30 divisors (see below), whose sum is σ = 282945774175272. Its totient is φ = 33700737370656.

The previous prime is 101102212112063. The next prime is 101102212112117. The reversal of 101102212112112 is 211211212201101.

It is a happy number.

101102212112112 is a `hidden beast` number, since 10 + 1 + 10 + 221 + 211 + 211 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102212112117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351049347468 + ... + 351049347755.

Almost surely, 2^{101102212112112} is an apocalyptic number.

101102212112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102212112112 is an abundant number, since it is smaller than the sum of its proper divisors (181843562063160).

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

101102212112112 is a wasteful number, since it uses less digits than its factorization.

101102212112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702098695237 (or 702098695228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101102212112112 its reverse (211211212201101), we get a palindrome (312313424313213).

The spelling of 101102212112112 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".