2120100211121 has 16 divisors (see below), whose sum is σ = 2198600921088. Its totient is φ = 2042237164800.

The previous prime is 2120100211109. The next prime is 2120100211133. The reversal of 2120100211121 is 1211120010212.

It is an interprime number because it is at equal distance from previous prime (2120100211109) and next prime (2120100211133).

It is a cyclic number.

It is not a de Polignac number, because 2120100211121 - 2¹⁰ = 2120100210097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120100211096 and 2120100211105.

It is not an unprimeable number, because it can be changed into a prime (2120100231121) 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, 22828901 + ... + 22921581.

It is an arithmetic number, because the mean of its divisors is an integer number (137412557568).

Almost surely, 2^{2120100211121} is an apocalyptic number.

It is an amenable number.

2120100211121 is a deficient number, since it is larger than the sum of its proper divisors (78500709967).

2120100211121 is a wasteful number, since it uses less digits than its factorization.

2120100211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96112.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2120100211121 its reverse (1211120010212), we get a palindrome (3331220221333).

The spelling of 2120100211121 in words is "two trillion, one hundred twenty billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".