2100011011002 has 96 divisors (see below), whose sum is σ = 4592885970816. Its totient is φ = 693449856000.

The previous prime is 2100011010991. The next prime is 2100011011013. The reversal of 2100011011002 is 2001101100012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100011010991) and next prime (2100011011013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823209627 + ... + 823212177.

It is an arithmetic number, because the mean of its divisors is an integer number (47842562196).

Almost surely, 2^{2100011011002} is an apocalyptic number.

2100011011002 is an abundant number, since it is smaller than the sum of its proper divisors (2492874959814).

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

2100011011002 is a wasteful number, since it uses less digits than its factorization.

2100011011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100011011002 its reverse (2001101100012), we get a palindrome (4101112111014).

The spelling of 2100011011002 in words is "two trillion, one hundred billion, eleven million, eleven thousand, two".