10100101101021 has 24 divisors (see below), whose sum is σ = 14994939793184. Its totient is φ = 6546341967840.

The previous prime is 10100101100993. The next prime is 10100101101053. The reversal of 10100101101021 is 12010110100101.

It is not a de Polignac number, because 10100101101021 - 2⁵ = 10100101100989 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101100994 and 10100101101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101101061) 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, 11317051 + ... + 12176856.

Almost surely, 2^{10100101101021} is an apocalyptic number.

It is an amenable number.

10100101101021 is a deficient number, since it is larger than the sum of its proper divisors (4894838692163).

10100101101021 is a wasteful number, since it uses less digits than its factorization.

10100101101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23495241 (or 23495238 counting only the distinct ones).

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

Adding to 10100101101021 its reverse (12010110100101), we get a palindrome (22110211201122).

The spelling of 10100101101021 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, twenty-one".