122112101122011 has 96 divisors (see below), whose sum is σ = 250754261442048. Its totient is φ = 55110826552320.

The previous prime is 122112101122007. The next prime is 122112101122139. The reversal of 122112101122011 is 110221101211221.

It is a happy number.

122112101122011 is a `hidden beast` number, since 1 + 2 + 211 + 210 + 11 + 220 + 11 = 666.

It is not a de Polignac number, because 122112101122011 - 2² = 122112101122007 is a prime.

It is a super-2 number, since 2×122112101122011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112101122411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398507341 + ... + 398813646.

It is an arithmetic number, because the mean of its divisors is an integer number (2612023556688).

Almost surely, 2^{122112101122011} is an apocalyptic number.

122112101122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122112101122011 is an abundant number, since it is smaller than the sum of its proper divisors (128642160320037).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112101122011 is a wasteful number, since it uses less digits than its factorization.

122112101122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797321041 (or 797321038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122112101122011 its reverse (110221101211221), we get a palindrome (232333202333232).

The spelling of 122112101122011 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred one million, one hundred twenty-two thousand, eleven".