2100121111121 has 32 divisors (see below), whose sum is σ = 2603250662400. Its totient is φ = 1670418953280.

The previous prime is 2100121111103. The next prime is 2100121111139. The reversal of 2100121111121 is 1211111210012.

It is an interprime number because it is at equal distance from previous prime (2100121111103) and next prime (2100121111139).

It is not a de Polignac number, because 2100121111121 - 2²⁶ = 2100054002257 is a prime.

It is a super-2 number, since 2×2100121111121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100121111096 and 2100121111105.

It is not an unprimeable number, because it can be changed into a prime (2100121111171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7393151 + ... + 7671956.

It is an arithmetic number, because the mean of its divisors is an integer number (81351583200).

Almost surely, 2^{2100121111121} is an apocalyptic number.

It is an amenable number.

2100121111121 is a deficient number, since it is larger than the sum of its proper divisors (503129551279).

2100121111121 is a wasteful number, since it uses less digits than its factorization.

2100121111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15065189.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2100121111121 its reverse (1211111210012), we get a palindrome (3311232321133).

The spelling of 2100121111121 in words is "two trillion, one hundred billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".