2100221112121 has 8 divisors (see below), whose sum is σ = 2325346578144. Its totient is φ = 1880795025120.

The previous prime is 2100221112113. The next prime is 2100221112127. The reversal of 2100221112121 is 1212111220012.

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

It is not a de Polignac number, because 2100221112121 - 2³ = 2100221112113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100221112095 and 2100221112104.

It is not an unprimeable number, because it can be changed into a prime (2100221112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424843980 + ... + 1424845453.

It is an arithmetic number, because the mean of its divisors is an integer number (290668322268).

Almost surely, 2^{2100221112121} is an apocalyptic number.

It is an amenable number.

2100221112121 is a deficient number, since it is larger than the sum of its proper divisors (225125466023).

2100221112121 is a wasteful number, since it uses less digits than its factorization.

2100221112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849689511.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2100221112121 its reverse (1212111220012), we get a palindrome (3312332332133).

The spelling of 2100221112121 in words is "two trillion, one hundred billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".