102101100212114 has 16 divisors (see below), whose sum is σ = 157296011592408. Its totient is φ = 49669186303872.

The previous prime is 102101100212081. The next prime is 102101100212123. The reversal of 102101100212114 is 411212001101201.

It can be written as a sum of positive squares in 4 ways, for example, as 91744501372225 + 10356598839889 = 9578335^2 + 3218167^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101100212092 and 102101100212101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20202029 + ... + 24745184.

Almost surely, 2^{102101100212114} is an apocalyptic number.

102101100212114 is a deficient number, since it is larger than the sum of its proper divisors (55194911380294).

102101100212114 is a wasteful number, since it uses less digits than its factorization.

102101100212114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44977949.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102101100212114 its reverse (411212001101201), we get a palindrome (513313101313315).

The spelling of 102101100212114 in words is "one hundred two trillion, one hundred one billion, one hundred million, two hundred twelve thousand, one hundred fourteen".