101122000001121 has 16 divisors (see below), whose sum is σ = 147091982526720. Its totient is φ = 61283795160720.

The previous prime is 101122000001083. The next prime is 101122000001167. The reversal of 101122000001121 is 121100000221101.

101122000001121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101122000001121 - 2¹⁴ = 101121999984737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122000001097 and 101122000001106.

It is not an unprimeable number, because it can be changed into a prime (101122000001521) 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, 55729675 + ... + 57515568.

It is an arithmetic number, because the mean of its divisors is an integer number (9193248907920).

Almost surely, 2^{101122000001121} is an apocalyptic number.

101122000001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122000001121 is a deficient number, since it is larger than the sum of its proper divisors (45969982525599).

101122000001121 is a wasteful number, since it uses less digits than its factorization.

101122000001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113272316.

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

Adding to 101122000001121 its reverse (121100000221101), we get a palindrome (222222000222222).

The spelling of 101122000001121 in words is "one hundred one trillion, one hundred twenty-two billion, one thousand, one hundred twenty-one".