102112111100021 has 8 divisors (see below), whose sum is σ = 111411010152288. Its totient is φ = 92815875358000.

The previous prime is 102112111099861. The next prime is 102112111100089. The reversal of 102112111100021 is 120001111211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102112111100021 - 2²² = 102112106905717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112111099969 and 102112111100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112111100621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665747390 + ... + 665900751.

It is an arithmetic number, because the mean of its divisors is an integer number (13926376269036).

Almost surely, 2^{102112111100021} is an apocalyptic number.

102112111100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112111100021 is a deficient number, since it is larger than the sum of its proper divisors (9298899052267).

102112111100021 is a wasteful number, since it uses less digits than its factorization.

102112111100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331655123.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102112111100021 its reverse (120001111211201), we get a palindrome (222113222311222).

The spelling of 102112111100021 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, one hundred thousand, twenty-one".