102213300202100 has 36 divisors (see below), whose sum is σ = 221807319258924. Its totient is φ = 40884498362880.

The previous prime is 102213300202043. The next prime is 102213300202103. The reversal of 102213300202100 is 1202003312201.

It can be written as a sum of positive squares in 6 ways, for example, as 9737420394256 + 92475879807844 = 3120484^2 + 9616438^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213300202103) 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, 5258837 + ... + 15234236.

It is an arithmetic number, because the mean of its divisors is an integer number (6161314423859).

Almost surely, 2^{102213300202100} is an apocalyptic number.

102213300202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213300202100 is an abundant number, since it is smaller than the sum of its proper divisors (119594019056824).

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

102213300202100 is a wasteful number, since it uses less digits than its factorization.

102213300202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20542964 (or 20542957 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102213300202100 its reverse (1202003312201), we get a palindrome (103415303514301).

The spelling of 102213300202100 in words is "one hundred two trillion, two hundred thirteen billion, three hundred million, two hundred two thousand, one hundred".