10221112100 has 18 divisors (see below), whose sum is σ = 22179813474. Its totient is φ = 4088444800.

The previous prime is 10221112091. The next prime is 10221112123. The reversal of 10221112100 is 121112201.

It can be written as a sum of positive squares in 3 ways, for example, as 963978304 + 9257133796 = 31048^2 + 96214^2 .

It is a super-2 number, since 2×10221112100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51105461 + ... + 51105660.

Almost surely, 2^10221112100 is an apocalyptic number.

10221112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221112100 is an abundant number, since it is smaller than the sum of its proper divisors (11958701374).

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

10221112100 is a wasteful number, since it uses less digits than its factorization.

10221112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102211135 (or 102211128 counting only the distinct ones).

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

Adding to 10221112100 its reverse (121112201), we get a palindrome (10342224301).

The spelling of 10221112100 in words is "ten billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".