1002112101000 has 512 divisors, whose sum is σ = 3529056960000. Its totient is φ = 263027865600.

The previous prime is 1002112100963. The next prime is 1002112101007. The reversal of 1002112101000 is 1012112001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1002112101007) 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, 479707956 + ... + 479710044.

It is an arithmetic number, because the mean of its divisors is an integer number (6892689375).

Almost surely, 2^{1002112101000} is an apocalyptic number.

1002112101000 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 1002112101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764528480000).

1002112101000 is an abundant number, since it is smaller than the sum of its proper divisors (2526944859000).

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

1002112101000 is a wasteful number, since it uses less digits than its factorization.

1002112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002112101000 its reverse (1012112001), we get a palindrome (1003124213001).

The spelling of 1002112101000 in words is "one trillion, two billion, one hundred twelve million, one hundred one thousand".