2100102221121 has 16 divisors (see below), whose sum is σ = 2838767031360. Its totient is φ = 1380756464640.

The previous prime is 2100102221057. The next prime is 2100102221149. The reversal of 2100102221121 is 1211222010012.

It is not a de Polignac number, because 2100102221121 - 2⁶ = 2100102221057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100102221121.

It is not an unprimeable number, because it can be changed into a prime (2100102121121) 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 15 ways as a sum of consecutive naturals, for example, 1850466 + ... + 2761236.

It is an arithmetic number, because the mean of its divisors is an integer number (177422939460).

Almost surely, 2^{2100102221121} is an apocalyptic number.

It is an amenable number.

2100102221121 is a deficient number, since it is larger than the sum of its proper divisors (738664810239).

2100102221121 is a wasteful number, since it uses less digits than its factorization.

2100102221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921376.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2100102221121 its reverse (1211222010012), we get a palindrome (3311324231133).

The spelling of 2100102221121 in words is "two trillion, one hundred billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty-one".