100210010211221 has 16 divisors (see below), whose sum is σ = 106407054733104. Its totient is φ = 94046567645184.

The previous prime is 100210010211173. The next prime is 100210010211247. The reversal of 100210010211221 is 122112010012001.

It can be written as a sum of positive squares in 8 ways, for example, as 19765004266225 + 80445005944996 = 4445785^2 + 8969114^2 .

It is not a de Polignac number, because 100210010211221 - 2²² = 100210006016917 is a prime.

It is a super-2 number, since 2×100210010211221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210010211196 and 100210010211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210010211251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537938531 + ... + 538124783.

It is an arithmetic number, because the mean of its divisors is an integer number (6650440920819).

Almost surely, 2^{100210010211221} is an apocalyptic number.

It is an amenable number.

100210010211221 is a deficient number, since it is larger than the sum of its proper divisors (6197044521883).

100210010211221 is a wasteful number, since it uses less digits than its factorization.

100210010211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276280.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210010211221 its reverse (122112010012001), we get a palindrome (222322020223222).

The spelling of 100210010211221 in words is "one hundred trillion, two hundred ten billion, ten million, two hundred eleven thousand, two hundred twenty-one".