100000111210101 has 6 divisors (see below), whose sum is σ = 144444605081270. Its totient is φ = 66666740806728.

The previous prime is 100000111210073. The next prime is 100000111210183. The reversal of 100000111210101 is 101012111000001.

It can be written as a sum of positive squares in only one way, i.e., 56212431275025 + 43787679935076 = 7497495^2 + 6617226^2 .

It is not a de Polignac number, because 100000111210101 - 2¹⁵ = 100000111177333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11111123467789 = 100000111210101 / (1 + 0 + 0 + 0 + 0 + 0 + 1 + 1 + 1 + 2 + 1 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000111010101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555561733886 + ... + 5555561733903.

Almost surely, 2^{100000111210101} is an apocalyptic number.

It is an amenable number.

100000111210101 is a deficient number, since it is larger than the sum of its proper divisors (44444493871169).

100000111210101 is a wasteful number, since it uses less digits than its factorization.

100000111210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111123467795 (or 11111123467792 counting only the distinct ones).

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

Adding to 100000111210101 its reverse (101012111000001), we get a palindrome (201012222210102).

The spelling of 100000111210101 in words is "one hundred trillion, one hundred eleven million, two hundred ten thousand, one hundred one".