100001101122000 has 320 divisors, whose sum is σ = 385782028369920. Its totient is φ = 24615655488000.

The previous prime is 100001101121927. The next prime is 100001101122007. The reversal of 100001101122000 is 221101100001.

It is a happy number.

It is a super-2 number, since 2×100001101122000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70523856 + ... + 71927855.

It is an arithmetic number, because the mean of its divisors is an integer number (1205568838656).

Almost surely, 2^{100001101122000} is an apocalyptic number.

100001101122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001101122000 is an abundant number, since it is smaller than the sum of its proper divisors (285780927247920).

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

100001101122000 is a wasteful number, since it uses less digits than its factorization.

100001101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142451756 (or 142451734 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001101122000 its reverse (221101100001), we get a palindrome (100222202222001).

The spelling of 100001101122000 in words is "one hundred trillion, one billion, one hundred one million, one hundred twenty-two thousand".