102004012000 has 768 divisors, whose sum is σ = 308135632896. Its totient is φ = 32747520000.

The previous prime is 102004011959. The next prime is 102004012001. The reversal of 102004012000 is 210400201.

102004012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102004012000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102004012001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1228963959 + ... + 1228964041.

It is an arithmetic number, because the mean of its divisors is an integer number (401218272).

Almost surely, 2^102004012000 is an apocalyptic number.

102004012000 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 102004012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154067816448).

102004012000 is an abundant number, since it is smaller than the sum of its proper divisors (206131620896).

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

102004012000 is a wasteful number, since it uses less digits than its factorization.

102004012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102004012000 its reverse (210400201), we get a palindrome (102214412201).

The spelling of 102004012000 in words is "one hundred two billion, four million, twelve thousand".