2101122122011 has 16 divisors (see below), whose sum is σ = 2330624330496. Its totient is φ = 1878059700000.

The previous prime is 2101122121999. The next prime is 2101122122041. The reversal of 2101122122011 is 1102212211012.

It is not a de Polignac number, because 2101122122011 - 2¹³ = 2101122113819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101122122041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097976 + ... + 2325466.

It is an arithmetic number, because the mean of its divisors is an integer number (145664020656).

Almost surely, 2^{2101122122011} is an apocalyptic number.

2101122122011 is a deficient number, since it is larger than the sum of its proper divisors (229502208485).

2101122122011 is a wasteful number, since it uses less digits than its factorization.

2101122122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230114.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2101122122011 its reverse (1102212211012), we get a palindrome (3203334333023).

The spelling of 2101122122011 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, eleven".