121013101121232 has 160 divisors (see below), whose sum is σ = 343404990673920. Its totient is φ = 36550297681920.

The previous prime is 121013101121207. The next prime is 121013101121257. The reversal of 121013101121232 is 232121101310121.

121013101121232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121013101121207) and next prime (121013101121257).

It is a super-2 number, since 2×121013101121232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121013101121199 and 121013101121208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276055888 + ... + 276493904.

It is an arithmetic number, because the mean of its divisors is an integer number (2146281191712).

Almost surely, 2^{121013101121232} is an apocalyptic number.

121013101121232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121013101121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171702495336960).

121013101121232 is an abundant number, since it is smaller than the sum of its proper divisors (222391889552688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121013101121232 is a wasteful number, since it uses less digits than its factorization.

121013101121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451241 (or 451235 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121013101121232 its reverse (232121101310121), we get a palindrome (353134202431353).

The spelling of 121013101121232 in words is "one hundred twenty-one trillion, thirteen billion, one hundred one million, one hundred twenty-one thousand, two hundred thirty-two".