10100101116 has 48 divisors (see below), whose sum is σ = 26980411136. Its totient is φ = 2880728064.

The previous prime is 10100101069. The next prime is 10100101117. The reversal of 10100101116 is 61110100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55726 + ... + 152661.

Almost surely, 2^10100101116 is an apocalyptic number.

It is an amenable number.

10100101116 is an abundant number, since it is smaller than the sum of its proper divisors (16880310020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100101116 is a wasteful number, since it uses less digits than its factorization.

10100101116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208978 (or 208976 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10100101116 its reverse (61110100101), we get a palindrome (71210201217).

The spelling of 10100101116 in words is "ten billion, one hundred million, one hundred one thousand, one hundred sixteen".