101102212000101 has 72 divisors (see below), whose sum is σ = 147570925675680. Its totient is φ = 61541700729600.

The previous prime is 101102212000063. The next prime is 101102212000109. The reversal of 101102212000101 is 101000212201101.

It is not a de Polignac number, because 101102212000101 - 2⁷ = 101102211999973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102212000109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5735636050 + ... + 5735653676.

It is an arithmetic number, because the mean of its divisors is an integer number (2049596189940).

Almost surely, 2^{101102212000101} is an apocalyptic number.

It is an amenable number.

101102212000101 is a deficient number, since it is larger than the sum of its proper divisors (46468713675579).

101102212000101 is a wasteful number, since it uses less digits than its factorization.

101102212000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18967 (or 18853 counting only the distinct ones).

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

Adding to 101102212000101 its reverse (101000212201101), we get a palindrome (202102424201202).

The spelling of 101102212000101 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, one hundred one", and thus it is an aban number.