102233113002100 has 36 divisors (see below), whose sum is σ = 221917211905900. Its totient is φ = 40880091893760.

The previous prime is 102233113002089. The next prime is 102233113002113. The reversal of 102233113002100 is 1200311332201.

It can be written as a sum of positive squares in 6 ways, for example, as 1358217316 + 102231754784784 = 36854^2 + 10110972^2 .

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 11 ways as a sum of consecutive naturals, for example, 164103885 + ... + 164725684.

Almost surely, 2^{102233113002100} is an apocalyptic number.

102233113002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233113002100 is an abundant number, since it is smaller than the sum of its proper divisors (119684098903800).

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

102233113002100 is a wasteful number, since it uses less digits than its factorization.

102233113002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328832692 (or 328832685 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102233113002100 its reverse (1200311332201), we get a palindrome (103433424334301).

The spelling of 102233113002100 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred thirteen million, two thousand, one hundred".