102112100202101 has 8 divisors (see below), whose sum is σ = 111403044724800. Its totient is φ = 92822493399840.

The previous prime is 102112100202071. The next prime is 102112100202179. The reversal of 102112100202101 is 101202001211201.

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 102112100202101 - 2²² = 102112096007797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112100202001) 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, 334270496 + ... + 334575833.

It is an arithmetic number, because the mean of its divisors is an integer number (13925380590600).

Almost surely, 2^{102112100202101} is an apocalyptic number.

102112100202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112100202101 is a deficient number, since it is larger than the sum of its proper divisors (9290944522699).

102112100202101 is a wasteful number, since it uses less digits than its factorization.

102112100202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668860219.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112100202101 its reverse (101202001211201), we get a palindrome (203314101413302).

The spelling of 102112100202101 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one hundred one".