10100011202113 has 64 divisors (see below), whose sum is σ = 12469499043840. Its totient is φ = 7994785075200.

The previous prime is 10100011202041. The next prime is 10100011202137. The reversal of 10100011202113 is 31120211000101.

It is a happy number.

10100011202113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100011202113 - 2²⁵ = 10099977647681 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100011202093 and 10100011202102.

It is not an unprimeable number, because it can be changed into a prime (10100011202173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158253153 + ... + 158316961.

It is an arithmetic number, because the mean of its divisors is an integer number (194835922560).

Almost surely, 2^{10100011202113} is an apocalyptic number.

It is an amenable number.

10100011202113 is a deficient number, since it is larger than the sum of its proper divisors (2369487841727).

10100011202113 is a wasteful number, since it uses less digits than its factorization.

10100011202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64198.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10100011202113 its reverse (31120211000101), we get a palindrome (41220222202214).

The spelling of 10100011202113 in words is "ten trillion, one hundred billion, eleven million, two hundred two thousand, one hundred thirteen".