101122001112 has 128 divisors (see below), whose sum is σ = 288238072320. Its totient is φ = 29263872000.

The previous prime is 101122001093. The next prime is 101122001131. The reversal of 101122001112 is 211100221101.

It is an interprime number because it is at equal distance from previous prime (101122001093) and next prime (101122001131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3879162 + ... + 3905142.

It is an arithmetic number, because the mean of its divisors is an integer number (2251859940).

Almost surely, 2^101122001112 is an apocalyptic number.

101122001112 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 101122001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144119036160).

101122001112 is an abundant number, since it is smaller than the sum of its proper divisors (187116071208).

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

101122001112 is a wasteful number, since it uses less digits than its factorization.

101122001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26665 (or 26661 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122001112 its reverse (211100221101), we get a palindrome (312222222213).

The spelling of 101122001112 in words is "one hundred one billion, one hundred twenty-two million, one thousand, one hundred twelve".