2120011112121 has 16 divisors (see below), whose sum is σ = 3231023689728. Its totient is φ = 1211235958800.

The previous prime is 2120011112101. The next prime is 2120011112159. The reversal of 2120011112121 is 1212111100212.

It is a happy number.

It is not a de Polignac number, because 2120011112121 - 2⁷ = 2120011111993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2120011112121.

It is not an unprimeable number, because it can be changed into a prime (2120011112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8159145 + ... + 8414966.

It is an arithmetic number, because the mean of its divisors is an integer number (201938980608).

Almost surely, 2^{2120011112121} is an apocalyptic number.

2120011112121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120011112121 is a deficient number, since it is larger than the sum of its proper divisors (1111012577607).

2120011112121 is a wasteful number, since it uses less digits than its factorization.

2120011112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16580212.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2120011112121 its reverse (1212111100212), we get a palindrome (3332122212333).

The spelling of 2120011112121 in words is "two trillion, one hundred twenty billion, eleven million, one hundred twelve thousand, one hundred twenty-one".