2001022010000 has 100 divisors (see below), whose sum is σ = 5217341988012. Its totient is φ = 738838848000.

The previous prime is 2001022009999. The next prime is 2001022010017. The reversal of 2001022010000 is 102201002.

It can be written as a sum of positive squares in 10 ways, for example, as 1829321170576 + 171700839424 = 1352524^2 + 414368^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001022010000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7566239 + ... + 7826238.

Almost surely, 2^{2001022010000} is an apocalyptic number.

2001022010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001022010000 is an abundant number, since it is smaller than the sum of its proper divisors (3216319978012).

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

2001022010000 is a wasteful number, since it uses less digits than its factorization.

2001022010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392518 (or 15392497 counting only the distinct ones).

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

Adding to 2001022010000 its reverse (102201002), we get a palindrome (2001124211002).

The spelling of 2001022010000 in words is "two trillion, one billion, twenty-two million, ten thousand".