1002110102000 has 320 divisors, whose sum is σ = 2815297904640. Its totient is φ = 337903488000.

The previous prime is 1002110101871. The next prime is 1002110102017. The reversal of 1002110102000 is 2010112001.

1002110102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306360365 + ... + 306363635.

It is an arithmetic number, because the mean of its divisors is an integer number (8797805952).

Almost surely, 2^{1002110102000} is an apocalyptic number.

1002110102000 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 1002110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407648952320).

1002110102000 is an abundant number, since it is smaller than the sum of its proper divisors (1813187802640).

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

1002110102000 is a wasteful number, since it uses less digits than its factorization.

1002110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002110102000 its reverse (2010112001), we get a palindrome (1004120214001).

The spelling of 1002110102000 in words is "one trillion, two billion, one hundred ten million, one hundred two thousand".