2100100112002 has 16 divisors (see below), whose sum is σ = 3335536978200. Its totient is φ = 988257558528.

The previous prime is 2100100111943. The next prime is 2100100112003. The reversal of 2100100112002 is 2002110010012.

It can be written as a sum of positive squares in 4 ways, for example, as 2099024337601 + 1075774401 = 1448801^2 + 32799^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2100100112002.

It is not an unprimeable number, because it can be changed into a prime (2100100112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632818 + ... + 2144914.

Almost surely, 2^{2100100112002} is an apocalyptic number.

2100100112002 is a deficient number, since it is larger than the sum of its proper divisors (1235436866198).

2100100112002 is a wasteful number, since it uses less digits than its factorization.

2100100112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552965.

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

Adding to 2100100112002 its reverse (2002110010012), we get a palindrome (4102210122014).

The spelling of 2100100112002 in words is "two trillion, one hundred billion, one hundred million, one hundred twelve thousand, two".