102213131100 has 144 divisors (see below), whose sum is σ = 301163807616. Its totient is φ = 26758368000.

The previous prime is 102213131093. The next prime is 102213131203. The reversal of 102213131100 is 1131312201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102213131100.

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 47 ways as a sum of consecutive naturals, for example, 10004995 + ... + 10015205.

Almost surely, 2^102213131100 is an apocalyptic number.

102213131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150581903808).

102213131100 is an abundant number, since it is smaller than the sum of its proper divisors (198950676516).

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

102213131100 is a wasteful number, since it uses less digits than its factorization.

102213131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102213131100 its reverse (1131312201), we get a palindrome (103344443301).

The spelling of 102213131100 in words is "one hundred two billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred".