2120021120121 has 64 divisors (see below), whose sum is σ = 3141429350400. Its totient is φ = 1266063031296.

The previous prime is 2120021120101. The next prime is 2120021120141. The reversal of 2120021120121 is 1210211200212.

It is an interprime number because it is at equal distance from previous prime (2120021120101) and next prime (2120021120141).

It is not a de Polignac number, because 2120021120121 - 2¹¹ = 2120021118073 is a prime.

It is a super-3 number, since 3×2120021120121³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2120021120121.

It is not an unprimeable number, because it can be changed into a prime (2120021120101) 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 63 ways as a sum of consecutive naturals, for example, 23558350 + ... + 23648168.

It is an arithmetic number, because the mean of its divisors is an integer number (49084833600).

Almost surely, 2^{2120021120121} is an apocalyptic number.

It is an amenable number.

2120021120121 is a deficient number, since it is larger than the sum of its proper divisors (1021408230279).

2120021120121 is a wasteful number, since it uses less digits than its factorization.

2120021120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90158.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120021120121 its reverse (1210211200212), we get a palindrome (3330232320333).

The spelling of 2120021120121 in words is "two trillion, one hundred twenty billion, twenty-one million, one hundred twenty thousand, one hundred twenty-one".