100102101113 has 32 divisors (see below), whose sum is σ = 123134183424. Its totient is φ = 79428448512.

The previous prime is 100102101109. The next prime is 100102101131. The reversal of 100102101113 is 311101201001.

It is a happy number.

It is not a de Polignac number, because 100102101113 - 2² = 100102101109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100102101094 and 100102101103.

It is not an unprimeable number, because it can be changed into a prime (100102101193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2219756 + ... + 2264402.

It is an arithmetic number, because the mean of its divisors is an integer number (3847943232).

Almost surely, 2^100102101113 is an apocalyptic number.

It is an amenable number.

100102101113 is a deficient number, since it is larger than the sum of its proper divisors (23032082311).

100102101113 is a wasteful number, since it uses less digits than its factorization.

100102101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44981.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100102101113 its reverse (311101201001), we get a palindrome (411203302114).

The spelling of 100102101113 in words is "one hundred billion, one hundred two million, one hundred one thousand, one hundred thirteen".