101100112001 has 4 divisors (see below), whose sum is σ = 115542985152. Its totient is φ = 86657238852.

The previous prime is 101100111979. The next prime is 101100112033. The reversal of 101100112001 is 100211001101.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 100211001101 = 2549 ⋅39313849.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100112001 is a prime.

It is a super-2 number, since 2×101100112001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101100112001.

It is not an unprimeable number, because it can be changed into a prime (101100112801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7221436565 + ... + 7221436578.

It is an arithmetic number, because the mean of its divisors is an integer number (28885746288).

Almost surely, 2^101100112001 is an apocalyptic number.

It is an amenable number.

101100112001 is a deficient number, since it is larger than the sum of its proper divisors (14442873151).

101100112001 is an equidigital number, since it uses as much as digits as its factorization.

101100112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14442873150.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101100112001 its reverse (100211001101), we get a palindrome (201311113102).

The spelling of 101100112001 in words is "one hundred one billion, one hundred million, one hundred twelve thousand, one".