121022220012100 has 288 divisors, whose sum is σ = 302881446346752. Its totient is φ = 41543620800000.

The previous prime is 121022220012061. The next prime is 121022220012121. The reversal of 121022220012100 is 1210022220121.

It is a happy number.

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, 794622157 + ... + 794774443.

It is an arithmetic number, because the mean of its divisors is an integer number (1051671688704).

Almost surely, 2^{121022220012100} is an apocalyptic number.

121022220012100 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 121022220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151440723173376).

121022220012100 is an abundant number, since it is smaller than the sum of its proper divisors (181859226334652).

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

121022220012100 is a wasteful number, since it uses less digits than its factorization.

121022220012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152747 (or 152740 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121022220012100 its reverse (1210022220121), we get a palindrome (122232242232221).

The spelling of 121022220012100 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred twenty million, twelve thousand, one hundred".