100120011221121 has 16 divisors (see below), whose sum is σ = 134685945889344. Its totient is φ = 66150473951744.

The previous prime is 100120011221063. The next prime is 100120011221173. The reversal of 100120011221121 is 121122110021001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100120011221121 - 2²⁵ = 100119977666689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120011221121.

It is not an unprimeable number, because it can be changed into a prime (100120011225121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8255556 + ... + 16382741.

It is an arithmetic number, because the mean of its divisors is an integer number (8417871618084).

Almost surely, 2^{100120011221121} is an apocalyptic number.

It is an amenable number.

100120011221121 is a deficient number, since it is larger than the sum of its proper divisors (34565934668223).

100120011221121 is a wasteful number, since it uses less digits than its factorization.

100120011221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24650400.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100120011221121 its reverse (121122110021001), we get a palindrome (221242121242122).

The spelling of 100120011221121 in words is "one hundred trillion, one hundred twenty billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".