121112010100100 has 72 divisors (see below), whose sum is σ = 267333941928480. Its totient is φ = 47611870225920.

The previous prime is 121112010100093. The next prime is 121112010100117. The reversal of 121112010100100 is 1001010211121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21210572 + ... + 26308028.

Almost surely, 2^{121112010100100} is an apocalyptic number.

121112010100100 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 121112010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133666970964240).

121112010100100 is an abundant number, since it is smaller than the sum of its proper divisors (146221931828380).

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

121112010100100 is a wasteful number, since it uses less digits than its factorization.

121112010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101557 (or 5101550 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121112010100100 its reverse (1001010211121), we get a palindrome (122113020311221).

The spelling of 121112010100100 in words is "one hundred twenty-one trillion, one hundred twelve billion, ten million, one hundred thousand, one hundred".