100120010112221 has 12 divisors (see below), whose sum is σ = 110049529669632. Its totient is φ = 91017974025000.

The previous prime is 100120010112209. The next prime is 100120010112281. The reversal of 100120010112221 is 122211010021001.

It is a de Polignac number, because none of the positive numbers 2^k-100120010112221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120010112196 and 100120010112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120010112281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72527396 + ... + 73894946.

It is an arithmetic number, because the mean of its divisors is an integer number (9170794139136).

Almost surely, 2^{100120010112221} is an apocalyptic number.

100120010112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120010112221 is a deficient number, since it is larger than the sum of its proper divisors (9929519557411).

100120010112221 is a wasteful number, since it uses less digits than its factorization.

100120010112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972624 (or 1972613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100120010112221 its reverse (122211010021001), we get a palindrome (222331020133222).

The spelling of 100120010112221 in words is "one hundred trillion, one hundred twenty billion, ten million, one hundred twelve thousand, two hundred twenty-one".