100202000100113 has 16 divisors (see below), whose sum is σ = 101362851532800. Its totient is φ = 99047775612240.

The previous prime is 100202000100109. The next prime is 100202000100151. The reversal of 100202000100113 is 311001000202001.

It is a cyclic number.

It is not a de Polignac number, because 100202000100113 - 2² = 100202000100109 is a prime.

It is a super-2 number, since 2×100202000100113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100202000100094 and 100202000100103.

It is not an unprimeable number, because it can be changed into a prime (100202000100313) 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, 40320128 + ... + 42733086.

It is an arithmetic number, because the mean of its divisors is an integer number (6335178220800).

Almost surely, 2^{100202000100113} is an apocalyptic number.

It is an amenable number.

100202000100113 is a deficient number, since it is larger than the sum of its proper divisors (1160851432687).

100202000100113 is a wasteful number, since it uses less digits than its factorization.

100202000100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414332.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100202000100113 its reverse (311001000202001), we get a palindrome (411203000302114).

The spelling of 100202000100113 in words is "one hundred trillion, two hundred two billion, one hundred thousand, one hundred thirteen".