101122011101112 has 32 divisors (see below), whose sum is σ = 252805545386880. Its totient is φ = 33707268015840.

The previous prime is 101122011101081. The next prime is 101122011101113. The reversal of 101122011101112 is 211101110221101.

It is a super-2 number, since 2×101122011101112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122011101091 and 101122011101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122011101113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8418813 + ... + 16526355.

It is an arithmetic number, because the mean of its divisors is an integer number (7900173293340).

Almost surely, 2^{101122011101112} is an apocalyptic number.

101122011101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122011101112 is an abundant number, since it is smaller than the sum of its proper divisors (151683534285768).

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

101122011101112 is a wasteful number, since it uses less digits than its factorization.

101122011101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627243 (or 8627239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101122011101112 its reverse (211101110221101), we get a palindrome (312223121322213).

The spelling of 101122011101112 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, one hundred one thousand, one hundred twelve".