102000202002000 has 120 divisors (see below), whose sum is σ = 356252705588520. Its totient is φ = 27200053862400.

The previous prime is 102000202001983. The next prime is 102000202002047. The reversal of 102000202002000 is 200202000201.

It can be written as a sum of positive squares in 4 ways, for example, as 4679451545616 + 97320750456384 = 2163204^2 + 9865128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 2833320945 + ... + 2833356944.

It is an arithmetic number, because the mean of its divisors is an integer number (2968772546571).

Almost surely, 2^{102000202002000} is an apocalyptic number.

102000202002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000202002000 is an abundant number, since it is smaller than the sum of its proper divisors (254252503586520).

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

102000202002000 is a wasteful number, since it uses less digits than its factorization.

102000202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666677918 (or 5666677899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102000202002000 its reverse (200202000201), we get a palindrome (102200404002201).

The spelling of 102000202002000 in words is "one hundred two trillion, two hundred two million, two thousand".