101122100002121 has 16 divisors (see below), whose sum is σ = 111066452395008. Its totient is φ = 91303215498000.

The previous prime is 101122100002093. The next prime is 101122100002171. The reversal of 101122100002121 is 121200001221101.

It is not a de Polignac number, because 101122100002121 - 2³⁰ = 101121026260297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122100002096 and 101122100002105.

It is not an unprimeable number, because it can be changed into a prime (101122100002171) 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, 3122900 + ... + 14560106.

It is an arithmetic number, because the mean of its divisors is an integer number (6941653274688).

Almost surely, 2^{101122100002121} is an apocalyptic number.

101122100002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122100002121 is a deficient number, since it is larger than the sum of its proper divisors (9944352392887).

101122100002121 is a wasteful number, since it uses less digits than its factorization.

101122100002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442692.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122100002121 its reverse (121200001221101), we get a palindrome (222322101223222).

The spelling of 101122100002121 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, two thousand, one hundred twenty-one".