10100220002113 has 16 divisors (see below), whose sum is σ = 10734618363840. Its totient is φ = 9476159846400.

The previous prime is 10100220002087. The next prime is 10100220002123. The reversal of 10100220002113 is 31120002200101.

It is a cyclic number.

It is not a de Polignac number, because 10100220002113 - 2⁹ = 10100220001601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100220002093 and 10100220002102.

It is not an unprimeable number, because it can be changed into a prime (10100220002123) 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, 5549073 + ... + 7140913.

It is an arithmetic number, because the mean of its divisors is an integer number (670913647740).

Almost surely, 2^{10100220002113} is an apocalyptic number.

It is an amenable number.

10100220002113 is a deficient number, since it is larger than the sum of its proper divisors (634398361727).

10100220002113 is a wasteful number, since it uses less digits than its factorization.

10100220002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595088.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10100220002113 its reverse (31120002200101), we get a palindrome (41220222202214).

The spelling of 10100220002113 in words is "ten trillion, one hundred billion, two hundred twenty million, two thousand, one hundred thirteen".