100121022212120 has 256 divisors, whose sum is σ = 281328859203840. Its totient is φ = 31224679170048.

The previous prime is 100121022212119. The next prime is 100121022212177. The reversal of 100121022212120 is 21212220121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70454852 + ... + 71861868.

It is an arithmetic number, because the mean of its divisors is an integer number (1098940856265).

Almost surely, 2^{100121022212120} is an apocalyptic number.

100121022212120 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 100121022212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140664429601920).

100121022212120 is an abundant number, since it is smaller than the sum of its proper divisors (181207836991720).

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

100121022212120 is a wasteful number, since it uses less digits than its factorization.

100121022212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407334 (or 1407330 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100121022212120 its reverse (21212220121001), we get a palindrome (121333242333121).

The spelling of 100121022212120 in words is "one hundred trillion, one hundred twenty-one billion, twenty-two million, two hundred twelve thousand, one hundred twenty".