10100021001021 has 48 divisors (see below), whose sum is σ = 17654591695104. Its totient is φ = 5431706076672.

The previous prime is 10100021000929. The next prime is 10100021001043. The reversal of 10100021001021 is 12010012000101.

It is a happy number.

It is not a de Polignac number, because 10100021001021 - 2¹⁰ = 10100020999997 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 = 10100021000994 and 10100021001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100021001121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25774071 + ... + 26163003.

It is an arithmetic number, because the mean of its divisors is an integer number (367803993648).

Almost surely, 2^{10100021001021} is an apocalyptic number.

It is an amenable number.

10100021001021 is a deficient number, since it is larger than the sum of its proper divisors (7554570694083).

10100021001021 is a wasteful number, since it uses less digits than its factorization.

10100021001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413210 (or 413207 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100021001021 its reverse (12010012000101), we get a palindrome (22110033001122).

The spelling of 10100021001021 in words is "ten trillion, one hundred billion, twenty-one million, one thousand, twenty-one".