102112001013 has 16 divisors (see below), whose sum is σ = 148538051136. Its totient is φ = 61881267840.

The previous prime is 102112000997. The next prime is 102112001021. The reversal of 102112001013 is 310100211201.

It is not a de Polignac number, because 102112001013 - 2⁴ = 102112000997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102112001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338881 + ... + 564857.

It is an arithmetic number, because the mean of its divisors is an integer number (9283628196).

Almost surely, 2^102112001013 is an apocalyptic number.

It is an amenable number.

102112001013 is a deficient number, since it is larger than the sum of its proper divisors (46426050123).

102112001013 is a wasteful number, since it uses less digits than its factorization.

102112001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239684.

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

Adding to 102112001013 its reverse (310100211201), we get a palindrome (412212212214).

The spelling of 102112001013 in words is "one hundred two billion, one hundred twelve million, one thousand, thirteen".