2000100010002 has 32 divisors (see below), whose sum is σ = 4084595923392. Its totient is φ = 652767346944.

The previous prime is 2000100009979. The next prime is 2000100010009.

It is a happy number.

2000100010002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (2000100010009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16605828 + ... + 16725839.

It is an arithmetic number, because the mean of its divisors is an integer number (127643622606).

Almost surely, 2^{2000100010002} is an apocalyptic number.

2000100010002 is an abundant number, since it is smaller than the sum of its proper divisors (2084495913390).

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

2000100010002 is a wasteful number, since it uses less digits than its factorization.

2000100010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33331882.

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 20001000 and 10002, that added together give a palindrome (20011002).

The spelling of 2000100010002 in words is "two trillion, one hundred million, ten thousand, two".