121320022033100 has 288 divisors, whose sum is σ = 306142104151296. Its totient is φ = 41241614745600.

The previous prime is 121320022033099. The next prime is 121320022033211. The reversal of 121320022033100 is 1330220023121.

It is a super-2 number, since 2×121320022033100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5446943564 + ... + 5446965836.

It is an arithmetic number, because the mean of its divisors is an integer number (1062993417192).

Almost surely, 2^{121320022033100} is an apocalyptic number.

121320022033100 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 121320022033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153071052075648).

121320022033100 is an abundant number, since it is smaller than the sum of its proper divisors (184822082118196).

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

121320022033100 is a wasteful number, since it uses less digits than its factorization.

121320022033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24265 (or 24258 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 121320022033100 its reverse (1330220023121), we get a palindrome (122650242056221).

The spelling of 121320022033100 in words is "one hundred twenty-one trillion, three hundred twenty billion, twenty-two million, thirty-three thousand, one hundred".