2102031002000 has 80 divisors (see below), whose sum is σ = 5098951174512. Its totient is φ = 838125849600.

The previous prime is 2102031001969. The next prime is 2102031002023. The reversal of 2102031002000 is 2001302012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1156562590096 + 945468411904 = 1075436^2 + 972352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 1052939 + ... + 2304938.

Almost surely, 2^{2102031002000} is an apocalyptic number.

2102031002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102031002000 is an abundant number, since it is smaller than the sum of its proper divisors (2996920172512).

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

2102031002000 is a wasteful number, since it uses less digits than its factorization.

2102031002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358213 (or 3358197 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2102031002000 its reverse (2001302012), we get a palindrome (2104032304012).

The spelling of 2102031002000 in words is "two trillion, one hundred two billion, thirty-one million, two thousand".