102200333001300 has 108 divisors (see below), whose sum is σ = 320432049903420. Its totient is φ = 27245698583040.

The previous prime is 102200333001259. The next prime is 102200333001341. The reversal of 102200333001300 is 3100333002201.

102200333001300 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 3 + 330 + 0 + 130 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102200333001259) and next prime (102200333001341).

It can be written as a sum of positive squares in 6 ways, for example, as 38307360218436 + 63892972782864 = 6189294^2 + 7993308^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12912867 + ... + 19265066.

Almost surely, 2^{102200333001300} is an apocalyptic number.

102200333001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200333001300 is an abundant number, since it is smaller than the sum of its proper divisors (218231716902120).

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

102200333001300 is a wasteful number, since it uses less digits than its factorization.

102200333001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32181482 (or 32181472 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102200333001300 its reverse (3100333002201), we get a palindrome (105300666003501).

Subtracting from 102200333001300 its reverse (3100333002201), we obtain a palindrome (99099999999099).

The spelling of 102200333001300 in words is "one hundred two trillion, two hundred billion, three hundred thirty-three million, one thousand, three hundred".