1002101002000 has 160 divisors (see below), whose sum is σ = 2914984500480. Its totient is φ = 325494374400.

The previous prime is 1002101001961. The next prime is 1002101002013. The reversal of 1002101002000 is 2001012001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617649 + ... + 2149648.

It is an arithmetic number, because the mean of its divisors is an integer number (18218653128).

Almost surely, 2^{1002101002000} is an apocalyptic number.

1002101002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101002000 is an abundant number, since it is smaller than the sum of its proper divisors (1912883498480).

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

1002101002000 is a wasteful number, since it uses less digits than its factorization.

1002101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767346 (or 3767330 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002101002000 its reverse (2001012001), we get a palindrome (1004102014001).

The spelling of 1002101002000 in words is "one trillion, two billion, one hundred one million, two thousand".