102002000120100 has 180 divisors, whose sum is σ = 331323622191408. Its totient is φ = 27145134072000.

The previous prime is 102002000120093. The next prime is 102002000120113. The reversal of 102002000120100 is 1021000200201.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 8846566 + ... + 16800765.

Almost surely, 2^{102002000120100} is an apocalyptic number.

102002000120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002000120100 is an abundant number, since it is smaller than the sum of its proper divisors (229321622071308).

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

102002000120100 is a wasteful number, since it uses less digits than its factorization.

102002000120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25647848 (or 25647832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002000120100 its reverse (1021000200201), we get a palindrome (103023000320301).

The spelling of 102002000120100 in words is "one hundred two trillion, two billion, one hundred twenty thousand, one hundred".