102213013132100 has 72 divisors (see below), whose sum is σ = 242779751783688. Its totient is φ = 37121497804800.

The previous prime is 102213013132081. The next prime is 102213013132121. The reversal of 102213013132100 is 1231310312201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 75329866601284 + 26883146530816 = 8679278^2 + 5184896^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644391149 + ... + 644549748.

Almost surely, 2^{102213013132100} is an apocalyptic number.

102213013132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213013132100 is an abundant number, since it is smaller than the sum of its proper divisors (140566738651588).

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

102213013132100 is a wasteful number, since it uses less digits than its factorization.

102213013132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288940985 (or 1288940978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102213013132100 its reverse (1231310312201), we get a palindrome (103444323444301).

The spelling of 102213013132100 in words is "one hundred two trillion, two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, one hundred".