100221111221021 has 6 divisors (see below), whose sum is σ = 116583741624510. Its totient is φ = 85903809617976.

The previous prime is 100221111220913. The next prime is 100221111221029. The reversal of 100221111221021 is 120122111122001.

It can be written as a sum of positive squares in only one way, i.e., 97943384323225 + 2277726897796 = 9896635^2 + 1509214^2 .

It is not a de Polignac number, because 100221111221021 - 2¹⁴ = 100221111204637 is a prime.

It is a super-2 number, since 2×100221111221021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221111221029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1022664400166 + ... + 1022664400263.

It is an arithmetic number, because the mean of its divisors is an integer number (19430623604085).

Almost surely, 2^{100221111221021} is an apocalyptic number.

It is an amenable number.

100221111221021 is a deficient number, since it is larger than the sum of its proper divisors (16362630403489).

100221111221021 is an equidigital number, since it uses as much as digits as its factorization.

100221111221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045328800443 (or 2045328800436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100221111221021 its reverse (120122111122001), we get a palindrome (220343222343022).

The spelling of 100221111221021 in words is "one hundred trillion, two hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, twenty-one".