100010100120111 has 12 divisors (see below), whose sum is σ = 144464065367440. Its totient is φ = 66671077682880.

The previous prime is 100010100120103. The next prime is 100010100120143. The reversal of 100010100120111 is 111021001010001.

It is not a de Polignac number, because 100010100120111 - 2³ = 100010100120103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010100120093 and 100010100120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100120811) 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, 193260346 + ... + 193777143.

Almost surely, 2^{100010100120111} is an apocalyptic number.

100010100120111 is a deficient number, since it is larger than the sum of its proper divisors (44453965247329).

100010100120111 is a wasteful number, since it uses less digits than its factorization.

100010100120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387066206 (or 387066203 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010100120111 its reverse (111021001010001), we get a palindrome (211031101130112).

It can be divided in two parts, 100010 and 100120111, that added together give a square (100220121 = 10011²).

The spelling of 100010100120111 in words is "one hundred trillion, ten billion, one hundred million, one hundred twenty thousand, one hundred eleven".