102101220111213 has 24 divisors (see below), whose sum is σ = 161192059082496. Its totient is φ = 61996945795200.

The previous prime is 102101220111167. The next prime is 102101220111221. The reversal of 102101220111213 is 312111022101201.

It is a happy number.

102101220111213 is a `hidden beast` number, since 10 + 210 + 1 + 220 + 1 + 11 + 213 = 666.

It is not a de Polignac number, because 102101220111213 - 2¹³ = 102101220103021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101220113213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10763353903 + ... + 10763363388.

It is an arithmetic number, because the mean of its divisors is an integer number (6716335795104).

Almost surely, 2^{102101220111213} is an apocalyptic number.

It is an amenable number.

102101220111213 is a deficient number, since it is larger than the sum of its proper divisors (59090838971283).

102101220111213 is a wasteful number, since it uses less digits than its factorization.

102101220111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21526717345 (or 21526717342 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102101220111213 its reverse (312111022101201), we get a palindrome (414212242212414).

The spelling of 102101220111213 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred eleven thousand, two hundred thirteen".