121000120000100 has 576 divisors, whose sum is σ = 301003134566400. Its totient is φ = 41838508800000.

The previous prime is 121000120000063. The next prime is 121000120000153. The reversal of 121000120000100 is 1000021000121.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122099010605 + ... + 122099011595.

It is an arithmetic number, because the mean of its divisors is an integer number (522574886400).

Almost surely, 2^{121000120000100} is an apocalyptic number.

121000120000100 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 121000120000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150501567283200).

121000120000100 is an abundant number, since it is smaller than the sum of its proper divisors (180003014566300).

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

121000120000100 is a wasteful number, since it uses less digits than its factorization.

121000120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121000120000100 its reverse (1000021000121), we get a palindrome (122000141000221).

The spelling of 121000120000100 in words is "one hundred twenty-one trillion, one hundred twenty million, one hundred", and thus it is an aban number.