121314010323100 has 144 divisors (see below), whose sum is σ = 318594644262720. Its totient is φ = 39141996134400.

The previous prime is 121314010323097. The next prime is 121314010323131. The reversal of 121314010323100 is 1323010413121.

It is a super-2 number, since 2×121314010323100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98982040 + ... + 100200160.

It is an arithmetic number, because the mean of its divisors is an integer number (2212462807380).

Almost surely, 2^{121314010323100} is an apocalyptic number.

121314010323100 is a gapful number since it is divisible by the number (10) 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 121314010323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297322131360).

121314010323100 is an abundant number, since it is smaller than the sum of its proper divisors (197280633939620).

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

121314010323100 is a wasteful number, since it uses less digits than its factorization.

121314010323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226528 (or 1226521 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121314010323100 its reverse (1323010413121), we get a palindrome (122637020736221).

The spelling of 121314010323100 in words is "one hundred twenty-one trillion, three hundred fourteen billion, ten million, three hundred twenty-three thousand, one hundred".