101121010122121 has 16 divisors (see below), whose sum is σ = 111528336312576. Its totient is φ = 90918100000000.

The previous prime is 101121010122107. The next prime is 101121010122133. The reversal of 101121010122121 is 121221010121101.

It is a cyclic number.

It is not a de Polignac number, because 101121010122121 - 2⁵ = 101121010122089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121010122095 and 101121010122104.

It is not an unprimeable number, because it can be changed into a prime (101121010122191) 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, 48942880 + ... + 50967121.

It is an arithmetic number, because the mean of its divisors is an integer number (6970521019536).

Almost surely, 2^{101121010122121} is an apocalyptic number.

101121010122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121010122121 is a deficient number, since it is larger than the sum of its proper divisors (10407326190455).

101121010122121 is a wasteful number, since it uses less digits than its factorization.

101121010122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99911024.

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

Adding to 101121010122121 its reverse (121221010121101), we get a palindrome (222342020243222).

The spelling of 101121010122121 in words is "one hundred one trillion, one hundred twenty-one billion, ten million, one hundred twenty-two thousand, one hundred twenty-one".