100101112101 has 6 divisors (see below), whose sum is σ = 144590495270. Its totient is φ = 66734074728.

The previous prime is 100101112079. The next prime is 100101112109. The reversal of 100101112101 is 101211101001.

It can be written as a sum of positive squares in only one way, i.e., 99713219076 + 387893025 = 315774^2 + 19695^2 .

It is not a de Polignac number, because 100101112101 - 2¹⁹ = 100100587813 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: 11122345789 = 100101112101 / (1 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101112109) 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, 5561172886 + ... + 5561172903.

Almost surely, 2^100101112101 is an apocalyptic number.

It is an amenable number.

100101112101 is a deficient number, since it is larger than the sum of its proper divisors (44489383169).

100101112101 is a wasteful number, since it uses less digits than its factorization.

100101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122345795 (or 11122345792 counting only the distinct ones).

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

Adding to 100101112101 its reverse (101211101001), we get a palindrome (201312213102).

The spelling of 100101112101 in words is "one hundred billion, one hundred one million, one hundred twelve thousand, one hundred one".