101122012010112 has 192 divisors, whose sum is σ = 275366284430400. Its totient is φ = 32879259074560.

The previous prime is 101122012010083. The next prime is 101122012010171. The reversal of 101122012010112 is 211010210221101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×101122012010112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122012010091 and 101122012010100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4859989213 + ... + 4860010019.

It is an arithmetic number, because the mean of its divisors is an integer number (1434199398075).

Almost surely, 2^{101122012010112} is an apocalyptic number.

101122012010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137683142215200).

101122012010112 is an abundant number, since it is smaller than the sum of its proper divisors (174244272420288).

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

101122012010112 is an equidigital number, since it uses as much as digits as its factorization.

101122012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28435 (or 28382 counting only the distinct ones).

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

Adding to 101122012010112 its reverse (211010210221101), we get a palindrome (312132222231213).

The spelling of 101122012010112 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, ten thousand, one hundred twelve".