101121122102121 has 28 divisors (see below), whose sum is σ = 165395265942960. Its totient is φ = 61285528541880.

The previous prime is 101121122102027. The next prime is 101121122102149. The reversal of 101121122102121 is 121201221121101.

It is a happy number.

101121122102121 is a `hidden beast` number, since 10 + 11 + 211 + 221 + 0 + 212 + 1 = 666.

It is not a de Polignac number, because 101121122102121 - 2¹⁵ = 101121122069353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121122102094 and 101121122102103.

It is not an unprimeable number, because it can be changed into a prime (101121122102171) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6305087511 + ... + 6305103548.

Almost surely, 2^{101121122102121} is an apocalyptic number.

101121122102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121122102121 is a deficient number, since it is larger than the sum of its proper divisors (64274143840839).

101121122102121 is an equidigital number, since it uses as much as digits as its factorization.

101121122102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610191088 (or 12610191073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101121122102121 its reverse (121201221121101), we get a palindrome (222322343223222).

The spelling of 101121122102121 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".