101122121112001 has 16 divisors (see below), whose sum is σ = 111713805216000. Its totient is φ = 90763613740800.

The previous prime is 101122121111983. The next prime is 101122121112007. The reversal of 101122121112001 is 100211121221101.

It is not a de Polignac number, because 101122121112001 - 2⁷ = 101122121111873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122121112007) 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, 40543671 + ... + 42965491.

It is an arithmetic number, because the mean of its divisors is an integer number (6982112826000).

Almost surely, 2^{101122121112001} is an apocalyptic number.

101122121112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122121112001 is a deficient number, since it is larger than the sum of its proper divisors (10591684103999).

101122121112001 is a wasteful number, since it uses less digits than its factorization.

101122121112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469960.

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

Adding to 101122121112001 its reverse (100211121221101), we get a palindrome (201333242333102).

The spelling of 101122121112001 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one".