2100220122121 has 16 divisors (see below), whose sum is σ = 2334996357120. Its totient is φ = 1872770814720.

The previous prime is 2100220122101. The next prime is 2100220122139. The reversal of 2100220122121 is 1212210220012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2100220122121 - 2⁹ = 2100220121609 is a prime.

It is a super-2 number, since 2×2100220122121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100220122095 and 2100220122104.

It is not an unprimeable number, because it can be changed into a prime (2100220122101) 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, 1736440 + ... + 2686198.

It is an arithmetic number, because the mean of its divisors is an integer number (145937272320).

Almost surely, 2^{2100220122121} is an apocalyptic number.

It is an amenable number.

2100220122121 is a deficient number, since it is larger than the sum of its proper divisors (234776234999).

2100220122121 is a wasteful number, since it uses less digits than its factorization.

2100220122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953616.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2100220122121 its reverse (1212210220012), we get a palindrome (3312430342133).

The spelling of 2100220122121 in words is "two trillion, one hundred billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".