100112001221 has 8 divisors (see below), whose sum is σ = 101569416024. Its totient is φ = 98656911360.

The previous prime is 100112001163. The next prime is 100112001229. The reversal of 100112001221 is 122100211001.

It can be written as a sum of positive squares in 4 ways, for example, as 39750390625 + 60361610596 = 199375^2 + 245686^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100112001221 - 2³⁴ = 82932132037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112001229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494396 + ... + 666821.

It is an arithmetic number, because the mean of its divisors is an integer number (12696177003).

Almost surely, 2^100112001221 is an apocalyptic number.

It is an amenable number.

100112001221 is a deficient number, since it is larger than the sum of its proper divisors (1457414803).

100112001221 is a wasteful number, since it uses less digits than its factorization.

100112001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162471.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112001221 its reverse (122100211001), we get a palindrome (222212212222).

The spelling of 100112001221 in words is "one hundred billion, one hundred twelve million, one thousand, two hundred twenty-one".