100221121120401 has 24 divisors (see below), whose sum is σ = 146137439448000. Its totient is φ = 66182302396512.

The previous prime is 100221121120397. The next prime is 100221121120403. The reversal of 100221121120401 is 104021121122001.

100221121120401 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 21 + 121 + 120 + 401 = 666.

It is not a de Polignac number, because 100221121120401 - 2² = 100221121120397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100221121120403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90695466 + ... + 91793843.

It is an arithmetic number, because the mean of its divisors is an integer number (6089059977000).

Almost surely, 2^{100221121120401} is an apocalyptic number.

It is an amenable number.

100221121120401 is a deficient number, since it is larger than the sum of its proper divisors (45916318327599).

100221121120401 is a wasteful number, since it uses less digits than its factorization.

100221121120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182489893 (or 182489890 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100221121120401 its reverse (104021121122001), we get a palindrome (204242242242402).

The spelling of 100221121120401 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, four hundred one".