102212201312100 has 216 divisors, whose sum is σ = 364699599106752. Its totient is φ = 23701379961600.

The previous prime is 102212201312009. The next prime is 102212201312101. The reversal of 102212201312100 is 1213102212201.

102212201312100 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 201 + 31 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102212201312101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 224217187 + ... + 224672586.

Almost surely, 2^{102212201312100} is an apocalyptic number.

102212201312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212201312100 is an abundant number, since it is smaller than the sum of its proper divisors (262487397794652).

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

102212201312100 is a wasteful number, since it uses less digits than its factorization.

102212201312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448889827 (or 448889817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102212201312100 its reverse (1213102212201), we get a palindrome (103425303524301).

The spelling of 102212201312100 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, three hundred twelve thousand, one hundred".