2120121011211 has 48 divisors (see below), whose sum is σ = 3372922824480. Its totient is φ = 1180704107520.

The previous prime is 2120121011159. The next prime is 2120121011219. The reversal of 2120121011211 is 1121101210212.

It is a happy number.

It is not a de Polignac number, because 2120121011211 - 2¹⁸ = 2120120749067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120121011219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107166 + ... + 2061971.

It is an arithmetic number, because the mean of its divisors is an integer number (70269225510).

Almost surely, 2^{2120121011211} is an apocalyptic number.

2120121011211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120121011211 is a deficient number, since it is larger than the sum of its proper divisors (1252801813269).

2120121011211 is a wasteful number, since it uses less digits than its factorization.

2120121011211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169324 (or 2169317 counting only the distinct ones).

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

Adding to 2120121011211 its reverse (1121101210212), we get a palindrome (3241222221423).

The spelling of 2120121011211 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, eleven thousand, two hundred eleven".