10100100110021 has 8 divisors (see below), whose sum is σ = 10185455600640. Its totient is φ = 10014835668768.

The previous prime is 10100100109951. The next prime is 10100100110027. The reversal of 10100100110021 is 12001100100101.

It is a happy number.

10100100110021 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 a cyclic number.

It is not a de Polignac number, because 10100100110021 - 2¹⁴ = 10100100093637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100109990 and 10100100110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100110027) 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, 22539536 + ... + 22983273.

It is an arithmetic number, because the mean of its divisors is an integer number (1273181950080).

Almost surely, 2^{10100100110021} is an apocalyptic number.

It is an amenable number.

10100100110021 is a deficient number, since it is larger than the sum of its proper divisors (85355490619).

10100100110021 is a wasteful number, since it uses less digits than its factorization.

10100100110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45524683.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100100110021 its reverse (12001100100101), we get a palindrome (22101200210122).

The spelling of 10100100110021 in words is "ten trillion, one hundred billion, one hundred million, one hundred ten thousand, twenty-one".