101001112122000 has 80 divisors (see below), whose sum is σ = 325627585500672. Its totient is φ = 26933629897600.

The previous prime is 101001112121989. The next prime is 101001112122007. The reversal of 101001112122000 is 221211100101.

101001112122000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (101001112122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8416753344 + ... + 8416765343.

Almost surely, 2^{101001112122000} is an apocalyptic number.

101001112122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001112122000 is an abundant number, since it is smaller than the sum of its proper divisors (224626473378672).

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

101001112122000 is a wasteful number, since it uses less digits than its factorization.

101001112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16833518713 (or 16833518697 counting only the distinct ones).

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

Adding to 101001112122000 its reverse (221211100101), we get a palindrome (101222323222101).

The spelling of 101001112122000 in words is "one hundred one trillion, one billion, one hundred twelve million, one hundred twenty-two thousand".