121000220000100 has 567 divisors, whose sum is σ = 442893647430507. Its totient is φ = 27631321119360.

The previous prime is 121000220000071. The next prime is 121000220000129. The reversal of 121000220000100 is 1000022000121.

The square root of 121000220000100 is 11000010.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (121000220000071) and next prime (121000220000129).

It can be written as a sum of positive squares in 4 ways, for example, as 3639571110756 + 117360648889344 = 1907766^2 + 10833312^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 113190102366 + ... + 113190103434.

Almost surely, 2^{121000220000100} is an apocalyptic number.

121000220000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121000220000100 is the 11000010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000220000100

121000220000100 is an abundant number, since it is smaller than the sum of its proper divisors (321893427430407).

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

121000220000100 is an frugal number, since it uses more digits than its factorization.

121000220000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121000220000100 its reverse (1000022000121), we get a palindrome (122000242000221).

The spelling of 121000220000100 in words is "one hundred twenty-one trillion, two hundred twenty million, one hundred", and thus it is an aban number.