121222021202100 has 864 divisors, whose sum is σ = 480452585733120. Its totient is φ = 24876665671680.

The previous prime is 121222021202089. The next prime is 121222021202101. The reversal of 121222021202100 is 1202120222121.

It is a happy number.

121222021202100 is a `hidden beast` number, since 1 + 21 + 2 + 220 + 212 + 0 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222021202101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12524225061 + ... + 12524234739.

Almost surely, 2^{121222021202100} is an apocalyptic number.

121222021202100 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 121222021202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240226292866560).

121222021202100 is an abundant number, since it is smaller than the sum of its proper divisors (359230564531020).

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

121222021202100 is a wasteful number, since it uses less digits than its factorization.

121222021202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13889 (or 13879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121222021202100 its reverse (1202120222121), we get a palindrome (122424141424221).

It can be divided in two parts, 121222021 and 202100, that added together give a palindrome (121424121).

The spelling of 121222021202100 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, twenty-one million, two hundred two thousand, one hundred".