102021120000 has 900 divisors, whose sum is σ = 391235620776. Its totient is φ = 26542080000.

The previous prime is 102021119971. The next prime is 102021120023. The reversal of 102021120000 is 21120201.

102021120000 = 225³ + 226³ + ... + 800³.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2488319980 + ... + 2488320020.

Almost surely, 2^102021120000 is an apocalyptic number.

102021120000 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 102021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195617810388).

102021120000 is an abundant number, since it is smaller than the sum of its proper divisors (289214500776).

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

102021120000 is an frugal number, since it uses more digits than its factorization.

102021120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102021120000 its reverse (21120201), we get a palindrome (102042240201).

The spelling of 102021120000 in words is "one hundred two billion, twenty-one million, one hundred twenty thousand".