100213022032 has 10 divisors (see below), whose sum is σ = 194162730218. Its totient is φ = 50106511008.

The previous prime is 100213022029. The next prime is 100213022059. The reversal of 100213022032 is 230220312001.

It can be written as a sum of positive squares in only one way, i.e., 91351435536 + 8861586496 = 302244^2 + 94136^2 .

It is a super-2 number, since 2×100213022032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 6263313877 = 100213022032 / (1 + 0 + 0 + 2 + 1 + 3 + 0 + 2 + 2 + 0 + 3 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 100213021997 and 100213022015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3131656923 + ... + 3131656954.

Almost surely, 2^100213022032 is an apocalyptic number.

It is an amenable number.

100213022032 is a deficient number, since it is larger than the sum of its proper divisors (93949708186).

100213022032 is an equidigital number, since it uses as much as digits as its factorization.

100213022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263313885 (or 6263313879 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100213022032 its reverse (230220312001), we get a palindrome (330433334033).

The spelling of 100213022032 in words is "one hundred billion, two hundred thirteen million, twenty-two thousand, thirty-two".