102211112100 has 36 divisors (see below), whose sum is σ = 295730818544. Its totient is φ = 27256296480.

The previous prime is 102211112099. The next prime is 102211112141. The reversal of 102211112100 is 1211112201.

It is a super-2 number, since 2×102211112100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170351554 + ... + 170352153.

Almost surely, 2^102211112100 is an apocalyptic number.

102211112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211112100 is an abundant number, since it is smaller than the sum of its proper divisors (193519706444).

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

102211112100 is a wasteful number, since it uses less digits than its factorization.

102211112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340703724 (or 340703717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211112100 its reverse (1211112201), we get a palindrome (103422224301).

The spelling of 102211112100 in words is "one hundred two billion, two hundred eleven million, one hundred twelve thousand, one hundred".