10022100202113 has 8 divisors (see below), whose sum is σ = 13362866914176. Its totient is φ = 6681366812400.

The previous prime is 10022100202099. The next prime is 10022100202141. The reversal of 10022100202113 is 31120200122001.

10022100202113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10022100202113 - 2³³ = 10013510267521 is a prime.

It is a super-2 number, since 2×10022100202113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022100202092 and 10022100202101.

It is not an unprimeable number, because it can be changed into a prime (10022100202183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7620153 + ... + 8838038.

It is an arithmetic number, because the mean of its divisors is an integer number (1670358364272).

Almost surely, 2^{10022100202113} is an apocalyptic number.

It is an amenable number.

10022100202113 is a deficient number, since it is larger than the sum of its proper divisors (3340766712063).

10022100202113 is a wasteful number, since it uses less digits than its factorization.

10022100202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16661175.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10022100202113 its reverse (31120200122001), we get a palindrome (41142300324114).

The spelling of 10022100202113 in words is "ten trillion, twenty-two billion, one hundred million, two hundred two thousand, one hundred thirteen".