121101002121121 has 32 divisors (see below), whose sum is σ = 138048400143360. Its totient is φ = 105234945638400.

The previous prime is 121101002121107. The next prime is 121101002121137. The reversal of 121101002121121 is 121121200101121.

It is a cyclic number.

It is not a de Polignac number, because 121101002121121 - 2⁷ = 121101002120993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121101002121095 and 121101002121104.

It is not an unprimeable number, because it can be changed into a prime (121101002121161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13239745 + ... + 20432641.

It is an arithmetic number, because the mean of its divisors is an integer number (4314012504480).

Almost surely, 2^{121101002121121} is an apocalyptic number.

121101002121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121101002121121 is a deficient number, since it is larger than the sum of its proper divisors (16947398022239).

121101002121121 is a wasteful number, since it uses less digits than its factorization.

121101002121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193545.

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

Adding to 121101002121121 its reverse (121121200101121), we get a palindrome (242222202222242).

The spelling of 121101002121121 in words is "one hundred twenty-one trillion, one hundred one billion, two million, one hundred twenty-one thousand, one hundred twenty-one".