2101122120111 has 64 divisors (see below), whose sum is σ = 3426802329600. Its totient is φ = 1119206499840.

The previous prime is 2101122120103. The next prime is 2101122120121. The reversal of 2101122120111 is 1110212211012.

It is a happy number.

It is not a de Polignac number, because 2101122120111 - 2³ = 2101122120103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122120121) 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, 3538821 + ... + 4089681.

It is an arithmetic number, because the mean of its divisors is an integer number (53543786400).

Almost surely, 2^{2101122120111} is an apocalyptic number.

2101122120111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101122120111 is a deficient number, since it is larger than the sum of its proper divisors (1325680209489).

2101122120111 is a wasteful number, since it uses less digits than its factorization.

2101122120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551096.

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

Adding to 2101122120111 its reverse (1110212211012), we get a palindrome (3211334331123).

Subtracting from 2101122120111 its reverse (1110212211012), we obtain a palindrome (990909909099).

The spelling of 2101122120111 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred eleven".