102000202000 has 80 divisors (see below), whose sum is σ = 247145288832. Its totient is φ = 40715913600.

The previous prime is 102000201967. The next prime is 102000202001. The reversal of 102000202000 is 202000201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×102000202000⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (102000202001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921639 + ... + 1026361.

Almost surely, 2^102000202000 is an apocalyptic number.

102000202000 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 102000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123572644416).

102000202000 is an abundant number, since it is smaller than the sum of its proper divisors (145145086832).

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

102000202000 is a wasteful number, since it uses less digits than its factorization.

102000202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105233 (or 105217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 102000202000 its reverse (202000201), we get a palindrome (102202202201).

The spelling of 102000202000 in words is "one hundred two billion, two hundred two thousand".