100001112022121 has 8 divisors (see below), whose sum is σ = 101005428875400. Its totient is φ = 98997073734400.

The previous prime is 100001112022093. The next prime is 100001112022157. The reversal of 100001112022121 is 121220211100001.

It can be written as a sum of positive squares in 4 ways, for example, as 45508664412121 + 54492447610000 = 6746011^2 + 7381900^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100001112022121 - 2⁶ = 100001112022057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001112022096 and 100001112022105.

It is not an unprimeable number, because it can be changed into a prime (100001112022321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68919776 + ... + 70355793.

It is an arithmetic number, because the mean of its divisors is an integer number (12625678609425).

Almost surely, 2^{100001112022121} is an apocalyptic number.

It is an amenable number.

100001112022121 is a deficient number, since it is larger than the sum of its proper divisors (1004316853279).

100001112022121 is a wasteful number, since it uses less digits than its factorization.

100001112022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139282779.

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

Adding to 100001112022121 its reverse (121220211100001), we get a palindrome (221221323122122).

The spelling of 100001112022121 in words is "one hundred trillion, one billion, one hundred twelve million, twenty-two thousand, one hundred twenty-one".