10010111100021 has 24 divisors (see below), whose sum is σ = 14477545293120. Its totient is φ = 6664872614400.

The previous prime is 10010111099977. The next prime is 10010111100127. The reversal of 10010111100021 is 12000111101001.

It is not a de Polignac number, because 10010111100021 - 2³⁰ = 10009037358197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010111099976 and 10010111100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111105021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71681656 + ... + 71821166.

It is an arithmetic number, because the mean of its divisors is an integer number (603231053880).

Almost surely, 2^{10010111100021} is an apocalyptic number.

It is an amenable number.

10010111100021 is a deficient number, since it is larger than the sum of its proper divisors (4467434193099).

10010111100021 is a wasteful number, since it uses less digits than its factorization.

10010111100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149657 (or 149654 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010111100021 its reverse (12000111101001), we get a palindrome (22010222201022).

The spelling of 10010111100021 in words is "ten trillion, ten billion, one hundred eleven million, one hundred thousand, twenty-one".