100112102101 has 4 divisors (see below), whose sum is σ = 109213202304. Its totient is φ = 91011001900.

The previous prime is 100112102081. The next prime is 100112102221. The reversal of 100112102101 is 101201211001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100112102101 - 2²¹ = 100110004949 is a prime.

It is a super-2 number, since 2×100112102101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112142101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550550085 + ... + 4550550106.

It is an arithmetic number, because the mean of its divisors is an integer number (27303300576).

Almost surely, 2^100112102101 is an apocalyptic number.

100112102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112102101 is a deficient number, since it is larger than the sum of its proper divisors (9101100203).

100112102101 is an equidigital number, since it uses as much as digits as its factorization.

100112102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101100202.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112102101 its reverse (101201211001), we get a palindrome (201313313102).

It can be divided in two parts, 10011 and 2102101, that added together give a palindrome (2112112).

The spelling of 100112102101 in words is "one hundred billion, one hundred twelve million, one hundred two thousand, one hundred one".