102002020010000 has 200 divisors, whose sum is σ = 269440011321888. Its totient is φ = 37087200000000.

The previous prime is 102002020009997. The next prime is 102002020010123. The reversal of 102002020010000 is 10020200201.

Added to its reverse (10020200201) it gives a square (102012040210201 = 10100101²).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×102002020010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102002020010000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 999959000 + ... + 1000061000.

Almost surely, 2^{102002020010000} is an apocalyptic number.

102002020010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134720005660944).

102002020010000 is an abundant number, since it is smaller than the sum of its proper divisors (167437991311888).

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

102002020010000 is a wasteful number, since it uses less digits than its factorization.

102002020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111131 (or 111110 counting only the distinct ones).

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

Adding to 102002020010000 its reverse (10020200201), we get a palindrome (102012040210201).

The spelling of 102002020010000 in words is "one hundred two trillion, two billion, twenty million, ten thousand".