10100202201021 has 16 divisors (see below), whose sum is σ = 13620088915200. Its totient is φ = 6656912241408.

The previous prime is 10100202200989. The next prime is 10100202201071. The reversal of 10100202201021 is 12010220200101.

It is not a de Polignac number, because 10100202201021 - 2⁵ = 10100202200989 is a prime.

It is a super-4 number, since 4×10100202201021⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100202200988 and 10100202201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100202201071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569781 + ... + 4530458.

It is an arithmetic number, because the mean of its divisors is an integer number (851255557200).

Almost surely, 2^{10100202201021} is an apocalyptic number.

It is an amenable number.

10100202201021 is a deficient number, since it is larger than the sum of its proper divisors (3519886714179).

10100202201021 is an equidigital number, since it uses as much as digits as its factorization.

10100202201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107748.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100202201021 its reverse (12010220200101), we get a palindrome (22110422401122).

The spelling of 10100202201021 in words is "ten trillion, one hundred billion, two hundred two million, two hundred one thousand, twenty-one".