102002020000 has 240 divisors, whose sum is σ = 260051631840. Its totient is φ = 39344256000.

The previous prime is 102002019961. The next prime is 102002020031. The reversal of 102002020000 is 20200201.

It is a happy number.

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, 71379286 + ... + 71380714.

It is an arithmetic number, because the mean of its divisors is an integer number (1083548466).

Almost surely, 2^102002020000 is an apocalyptic number.

102002020000 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 102002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130025815920).

102002020000 is an abundant number, since it is smaller than the sum of its proper divisors (158049611840).

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

102002020000 is an equidigital number, since it uses as much as digits as its factorization.

102002020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1562 counting only the distinct ones).

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

Adding to 102002020000 its reverse (20200201), we get a palindrome (102022220201).

The spelling of 102002020000 in words is "one hundred two billion, two million, twenty thousand".