121122021100000 has 144 divisors (see below), whose sum is σ = 298074527478000. Its totient is φ = 48445576960000.

The previous prime is 121122021099971. The next prime is 121122021100033. The reversal of 121122021100000 is 1120221121.

It is a super-4 number, since 4×121122021100000⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

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, 1988869551 + ... + 1988930449.

It is an arithmetic number, because the mean of its divisors is an integer number (2069961996375).

Almost surely, 2^{121122021100000} is an apocalyptic number.

121122021100000 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 121122021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149037263739000).

121122021100000 is an abundant number, since it is smaller than the sum of its proper divisors (176952506378000).

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

121122021100000 is an frugal number, since it uses more digits than its factorization.

121122021100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80823 (or 80795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121122021100000 its reverse (1120221121), we get a palindrome (121123141321121).

The spelling of 121122021100000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred thousand".