100021010010201 has 72 divisors (see below), whose sum is σ = 171239704126920. Its totient is φ = 56074438877184.

The previous prime is 100021010010199. The next prime is 100021010010223. The reversal of 100021010010201 is 102010010120001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32305309618176 + 67715700392025 = 5683776^2 + 8228955^2 .

It is not a de Polignac number, because 100021010010201 - 2¹ = 100021010010199 is a prime.

It is a super-2 number, since 2×100021010010201² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100021010050201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 840643951 + ... + 840762923.

It is an arithmetic number, because the mean of its divisors is an integer number (2378329223985).

Almost surely, 2^{100021010010201} is an apocalyptic number.

It is an amenable number.

100021010010201 is a deficient number, since it is larger than the sum of its proper divisors (71218694116719).

100021010010201 is a wasteful number, since it uses less digits than its factorization.

100021010010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155015 (or 155005 counting only the distinct ones).

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

Adding to 100021010010201 its reverse (102010010120001), we get a palindrome (202031020130202).

The spelling of 100021010010201 in words is "one hundred trillion, twenty-one billion, ten million, ten thousand, two hundred one".