102002122002000 has 160 divisors (see below), whose sum is σ = 358750736233344. Its totient is φ = 24727787136000.

The previous prime is 102002122001947. The next prime is 102002122002017. The reversal of 102002122002000 is 200221200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 772677349 + ... + 772809348.

Almost surely, 2^{102002122002000} is an apocalyptic number.

102002122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002122002000 is an abundant number, since it is smaller than the sum of its proper divisors (256748614231344).

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

102002122002000 is a wasteful number, since it uses less digits than its factorization.

102002122002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545486734 (or 1545486718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102002122002000 its reverse (200221200201), we get a palindrome (102202343202201).

The spelling of 102002122002000 in words is "one hundred two trillion, two billion, one hundred twenty-two million, two thousand".