121102010112113 has 16 divisors (see below), whose sum is σ = 124017354087120. Its totient is φ = 118210844304384.

The previous prime is 121102010112079. The next prime is 121102010112199. The reversal of 121102010112113 is 311211010201121.

It can be written as a sum of positive squares in 8 ways, for example, as 404364994609 + 120697645117504 = 635897^2 + 10986248^2 .

It is a cyclic number.

It is not a de Polignac number, because 121102010112113 - 2⁶ = 121102010112049 is a prime.

It is a super-3 number, since 3×121102010112113³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121102010112091 and 121102010112100.

It is not an unprimeable number, because it can be changed into a prime (121102010192113) 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, 11187245 + ... + 19166597.

It is an arithmetic number, because the mean of its divisors is an integer number (7751084630445).

Almost surely, 2^{121102010112113} is an apocalyptic number.

It is an amenable number.

121102010112113 is a deficient number, since it is larger than the sum of its proper divisors (2915343975007).

121102010112113 is a wasteful number, since it uses less digits than its factorization.

121102010112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980868.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 121102010112113 its reverse (311211010201121), we get a palindrome (432313020313234).

The spelling of 121102010112113 in words is "one hundred twenty-one trillion, one hundred two billion, ten million, one hundred twelve thousand, one hundred thirteen".