101122001112000 has 896 divisors, whose sum is σ = 380704845920256. Its totient is φ = 23411097600000.

The previous prime is 101122001111987. The next prime is 101122001112007. The reversal of 101122001112000 is 211100221101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122001112007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3892139010 + ... + 3892164990.

Almost surely, 2^{101122001112000} is an apocalyptic number.

101122001112000 is a gapful number since it is divisible by the number (10) 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 101122001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190352422960128).

101122001112000 is an abundant number, since it is smaller than the sum of its proper divisors (279582844808256).

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

101122001112000 is a wasteful number, since it uses less digits than its factorization.

101122001112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26686 (or 26666 counting only the distinct ones).

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

Adding to 101122001112000 its reverse (211100221101), we get a palindrome (101333101333101).

The spelling of 101122001112000 in words is "one hundred one trillion, one hundred twenty-two billion, one million, one hundred twelve thousand".