100111210101 has 12 divisors (see below), whose sum is σ = 165262950112. Its totient is φ = 57206405736.

The previous prime is 100111210099. The next prime is 100111210103. The reversal of 100111210101 is 101012111001.

It is an interprime number because it is at equal distance from previous prime (100111210099) and next prime (100111210103).

It is not a de Polignac number, because 100111210101 - 2¹ = 100111210099 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794533351 + ... + 794533476.

Almost surely, 2^100111210101 is an apocalyptic number.

It is an amenable number.

100111210101 is a deficient number, since it is larger than the sum of its proper divisors (65151740011).

100111210101 is a wasteful number, since it uses less digits than its factorization.

100111210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589066840 (or 1589066837 counting only the distinct ones).

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

Adding to 100111210101 its reverse (101012111001), we get a palindrome (201123321102).

The spelling of 100111210101 in words is "one hundred billion, one hundred eleven million, two hundred ten thousand, one hundred one".