100120102120111 has 16 divisors (see below), whose sum is σ = 101524632353280. Its totient is φ = 98725275450720.

The previous prime is 100120102120043. The next prime is 100120102120147. The reversal of 100120102120111 is 111021201021001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100120102120111 - 2²⁹ = 100119565249199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120102120091 and 100120102120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120102220111) 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, 18372550 + ... + 23190316.

It is an arithmetic number, because the mean of its divisors is an integer number (6345289522080).

Almost surely, 2^{100120102120111} is an apocalyptic number.

100120102120111 is a deficient number, since it is larger than the sum of its proper divisors (1404530233169).

100120102120111 is a wasteful number, since it uses less digits than its factorization.

100120102120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818774.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100120102120111 its reverse (111021201021001), we get a palindrome (211141303141112).

The spelling of 100120102120111 in words is "one hundred trillion, one hundred twenty billion, one hundred two million, one hundred twenty thousand, one hundred eleven".