10100201010021 has 24 divisors (see below), whose sum is σ = 15101330350080. Its totient is φ = 6497369163936.

The previous prime is 10100201010001. The next prime is 10100201010047. The reversal of 10100201010021 is 12001010200101.

It is a happy number.

It is not a de Polignac number, because 10100201010021 - 2⁵ = 10100201009989 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 = 10100201009985 and 10100201010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11200981 + ... + 12069066.

It is an arithmetic number, because the mean of its divisors is an integer number (629222097920).

Almost surely, 2^{10100201010021} is an apocalyptic number.

It is an amenable number.

10100201010021 is a deficient number, since it is larger than the sum of its proper divisors (5001129340059).

10100201010021 is a wasteful number, since it uses less digits than its factorization.

10100201010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23271745 (or 23271742 counting only the distinct ones).

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

Adding to 10100201010021 its reverse (12001010200101), we get a palindrome (22101211210122).

The spelling of 10100201010021 in words is "ten trillion, one hundred billion, two hundred one million, ten thousand, twenty-one".