2102011001000 has 64 divisors (see below), whose sum is σ = 5038674273360. Its totient is φ = 820296960000.

The previous prime is 2102011000967. The next prime is 2102011001021. The reversal of 2102011001000 is 1001102012.

It can be written as a sum of positive squares in 8 ways, for example, as 224340484 + 2101786660516 = 14978^2 + 1449754^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25593281 + ... + 25675280.

Almost surely, 2^{2102011001000} is an apocalyptic number.

2102011001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102011001000 is an abundant number, since it is smaller than the sum of its proper divisors (2936663272360).

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

2102011001000 is a wasteful number, since it uses less digits than its factorization.

2102011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51268623 (or 51268609 counting only the distinct ones).

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

Adding to 2102011001000 its reverse (1001102012), we get a palindrome (2103012103012).

The spelling of 2102011001000 in words is "two trillion, one hundred two billion, eleven million, one thousand".