121100021200000 has 768 divisors, whose sum is σ = 320215198665600. Its totient is φ = 45546762240000.

The previous prime is 121100021199979. The next prime is 121100021200001. The reversal of 121100021200000 is 2120001121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 121100021200000.

It is not an unprimeable number, because it can be changed into a prime (121100021200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70284399139 + ... + 70284400861.

Almost surely, 2^{121100021200000} is an apocalyptic number.

121100021200000 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 121100021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160107599332800).

121100021200000 is an abundant number, since it is smaller than the sum of its proper divisors (199115177465600).

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

121100021200000 is an frugal number, since it uses more digits than its factorization.

121100021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121100021200000 its reverse (2120001121), we get a palindrome (121102141201121).

The spelling of 121100021200000 in words is "one hundred twenty-one trillion, one hundred billion, twenty-one million, two hundred thousand".