102111112221101 has 8 divisors (see below), whose sum is σ = 103053926483640. Its totient is φ = 101168407323648.

The previous prime is 102111112221029. The next prime is 102111112221109. The reversal of 102111112221101 is 101122211111201.

It can be written as a sum of positive squares in 4 ways, for example, as 23922614655625 + 78188497565476 = 4891075^2 + 8842426^2 .

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 102111112221101 - 2⁴⁶ = 31742368043437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111112221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111112221109) 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, 25464716 + ... + 29200581.

It is an arithmetic number, because the mean of its divisors is an integer number (12881740810455).

Almost surely, 2^{102111112221101} is an apocalyptic number.

It is an amenable number.

102111112221101 is a deficient number, since it is larger than the sum of its proper divisors (942814262539).

102111112221101 is a wasteful number, since it uses less digits than its factorization.

102111112221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54682543.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102111112221101 its reverse (101122211111201), we get a palindrome (203233323332302).

The spelling of 102111112221101 in words is "one hundred two trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred one".