100101002113 has 16 divisors (see below), whose sum is σ = 115301821824. Its totient is φ = 85126066560.

The previous prime is 100101002077. The next prime is 100101002119. The reversal of 100101002113 is 311200101001.

It is a cyclic number.

It is not a de Polignac number, because 100101002113 - 2²⁹ = 99564131201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101002113.

It is not an unprimeable number, because it can be changed into a prime (100101002119) 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, 1707931 + ... + 1765567.

It is an arithmetic number, because the mean of its divisors is an integer number (7206363864).

Almost surely, 2^100101002113 is an apocalyptic number.

It is an amenable number.

100101002113 is a deficient number, since it is larger than the sum of its proper divisors (15200819711).

100101002113 is a wasteful number, since it uses less digits than its factorization.

100101002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59592.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100101002113 its reverse (311200101001), we get a palindrome (411301103114).

The spelling of 100101002113 in words is "one hundred billion, one hundred one million, two thousand, one hundred thirteen".