102000020000 has 240 divisors, whose sum is σ = 257193921600. Its totient is φ = 39795840000.

The previous prime is 102000019999. The next prime is 102000020011. The reversal of 102000020000 is 20000201.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 154779671 + ... + 154780329.

It is an arithmetic number, because the mean of its divisors is an integer number (1071641340).

Almost surely, 2^102000020000 is an apocalyptic number.

102000020000 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 102000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128596960800).

102000020000 is an abundant number, since it is smaller than the sum of its proper divisors (155193901600).

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

102000020000 is an equidigital number, since it uses as much as digits as its factorization.

102000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 102000020000 its reverse (20000201), we get a palindrome (102020020201).

The spelling of 102000020000 in words is "one hundred two billion, twenty thousand".