101122011111011 has 6 divisors (see below), whose sum is σ = 111150640312236. Its totient is φ = 91929101009900.

The previous prime is 101122011110963. The next prime is 101122011111019. The reversal of 101122011111011 is 110111110221101.

It is a de Polignac number, because none of the positive numbers 2^k-101122011111011 is a prime.

It is a super-2 number, since 2×101122011111011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122011111019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417859549925 + ... + 417859550166.

It is an arithmetic number, because the mean of its divisors is an integer number (18525106718706).

Almost surely, 2^{101122011111011} is an apocalyptic number.

101122011111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101122011111011 is a deficient number, since it is larger than the sum of its proper divisors (10028629201225).

101122011111011 is an equidigital number, since it uses as much as digits as its factorization.

101122011111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835719100113 (or 835719100102 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101122011111011 its reverse (110111110221101), we get a palindrome (211233121332112).

The spelling of 101122011111011 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, one hundred eleven thousand, eleven".