102200012003331 has 40 divisors (see below), whose sum is σ = 166552091609904. Its totient is φ = 61937941913280.

The previous prime is 102200012003237. The next prime is 102200012003357. The reversal of 102200012003331 is 133300210002201.

102200012003331 is a `hidden beast` number, since 10 + 2 + 200 + 0 + 120 + 0 + 3 + 331 = 666.

It is not a de Polignac number, because 102200012003331 - 2⁷ = 102200012003203 is a prime.

It is a super-2 number, since 2×102200012003331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102200012008331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37101865 + ... + 39761141.

Almost surely, 2^{102200012003331} is an apocalyptic number.

102200012003331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102200012003331 is a deficient number, since it is larger than the sum of its proper divisors (64352079606573).

102200012003331 is a wasteful number, since it uses less digits than its factorization.

102200012003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702433 (or 2702424 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102200012003331 its reverse (133300210002201), we get a palindrome (235500222005532).

The spelling of 102200012003331 in words is "one hundred two trillion, two hundred billion, twelve million, three thousand, three hundred thirty-one".