10100201001021 has 48 divisors (see below), whose sum is σ = 15203613874176. Its totient is φ = 6455641845888.

The previous prime is 10100201001019. The next prime is 10100201001041. The reversal of 10100201001021 is 12010010200101.

It is a happy number.

It is not a de Polignac number, because 10100201001021 - 2¹ = 10100201001019 is a prime.

It is a super-2 number, since 2×10100201001021² (a number of 27 digits) contains 22 as substring.

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 = 10100201000994 and 10100201001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201001041) 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, 10108671 + ... + 11062803.

It is an arithmetic number, because the mean of its divisors is an integer number (316741955712).

Almost surely, 2^{10100201001021} is an apocalyptic number.

It is an amenable number.

10100201001021 is a deficient number, since it is larger than the sum of its proper divisors (5103412873155).

10100201001021 is a wasteful number, since it uses less digits than its factorization.

10100201001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954642 (or 954639 counting only the distinct ones).

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

Adding to 10100201001021 its reverse (12010010200101), we get a palindrome (22110211201122).

The spelling of 10100201001021 in words is "ten trillion, one hundred billion, two hundred one million, one thousand, twenty-one".