102213111132100 has 36 divisors (see below), whose sum is σ = 221866538140548. Its totient is φ = 40873431184000.

The previous prime is 102213111132091. The next prime is 102213111132103. The reversal of 102213111132100 is 1231111312201.

It can be written as a sum of positive squares in 6 ways, for example, as 20672644571524 + 81540466560576 = 4546718^2 + 9029976^2 .

It is not an unprimeable number, because it can be changed into a prime (102213111132103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147318031 + ... + 148010230.

It is an arithmetic number, because the mean of its divisors is an integer number (6162959392793).

Almost surely, 2^{102213111132100} is an apocalyptic number.

102213111132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213111132100 is an abundant number, since it is smaller than the sum of its proper divisors (119653427008448).

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

102213111132100 is a wasteful number, since it uses less digits than its factorization.

102213111132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295331736 (or 295331729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 102213111132100 its reverse (1231111312201), we get a palindrome (103444222444301).

The spelling of 102213111132100 in words is "one hundred two trillion, two hundred thirteen billion, one hundred eleven million, one hundred thirty-two thousand, one hundred".