2001102011002 has 64 divisors (see below), whose sum is σ = 3133264135680. Its totient is φ = 957829017600.

The previous prime is 2001102010993. The next prime is 2001102011039.

2001102011002 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2001102011002.

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, 409304574 + ... + 409309462.

It is an arithmetic number, because the mean of its divisors is an integer number (48957252120).

Almost surely, 2^{2001102011002} is an apocalyptic number.

2001102011002 is a deficient number, since it is larger than the sum of its proper divisors (1132162124678).

2001102011002 is a wasteful number, since it uses less digits than its factorization.

2001102011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 2001102011002 in words is "two trillion, one billion, one hundred two million, eleven thousand, two".