121021212002193 has 24 divisors (see below), whose sum is σ = 178119170971560. Its totient is φ = 79152981223680.

The previous prime is 121021212002179. The next prime is 121021212002261. The reversal of 121021212002193 is 391200212120121.

121021212002193 is a `hidden beast` number, since 1 + 210 + 21 + 212 + 0 + 0 + 219 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6053430378384 + 114967781623809 = 2460372^2 + 10722303^2 .

It is not a de Polignac number, because 121021212002193 - 2⁶ = 121021212002129 is a prime.

It is a super-2 number, since 2×121021212002193² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121021212002153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2070858 + ... + 15694931.

It is an arithmetic number, because the mean of its divisors is an integer number (7421632123815).

Almost surely, 2^{121021212002193} is an apocalyptic number.

It is an amenable number.

121021212002193 is a deficient number, since it is larger than the sum of its proper divisors (57097958969367).

121021212002193 is a wasteful number, since it uses less digits than its factorization.

121021212002193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780129 (or 17780126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 121021212002193 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred twelve million, two thousand, one hundred ninety-three".