100210222100 has 36 divisors (see below), whose sum is σ = 224954677500. Its totient is φ = 38701877760.

The previous prime is 100210222093. The next prime is 100210222111. The reversal of 100210222100 is 1222012001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51897616 + 100158324484 = 7204^2 + 316478^2 .

It is a super-2 number, since 2×100210222100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17274725 + ... + 17280524.

Almost surely, 2^100210222100 is an apocalyptic number.

100210222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210222100 is an abundant number, since it is smaller than the sum of its proper divisors (124744455400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100210222100 is a wasteful number, since it uses less digits than its factorization.

100210222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34555292 (or 34555285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100210222100 its reverse (1222012001), we get a palindrome (101432234101).

The spelling of 100210222100 in words is "one hundred billion, two hundred ten million, two hundred twenty-two thousand, one hundred".