2100131013221 has 8 divisors (see below), whose sum is σ = 2150959048704. Its totient is φ = 2049717900880.

The previous prime is 2100131013209. The next prime is 2100131013271. The reversal of 2100131013221 is 1223101310012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100131013221 - 2¹⁰ = 2100131012197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100131013221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100131013271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103720541 + ... + 103740786.

It is an arithmetic number, because the mean of its divisors is an integer number (268869881088).

Almost surely, 2^{2100131013221} is an apocalyptic number.

It is an amenable number.

2100131013221 is a deficient number, since it is larger than the sum of its proper divisors (50828035483).

2100131013221 is a wasteful number, since it uses less digits than its factorization.

2100131013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207461571.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2100131013221 its reverse (1223101310012), we get a palindrome (3323232323233).

The spelling of 2100131013221 in words is "two trillion, one hundred billion, one hundred thirty-one million, thirteen thousand, two hundred twenty-one".