101100111222001 has 4 divisors (see below), whose sum is σ = 101419039017972. Its totient is φ = 100781183426032.

The previous prime is 101100111221959. The next prime is 101100111222007. The reversal of 101100111222001 is 100222111001101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 32208451212001 + 68891660010000 = 5675249^2 + 8300100^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100111222001 - 2²³ = 101100102833393 is a prime.

It is a super-3 number, since 3×101100111222001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100111222007) 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, 159463897510 + ... + 159463898143.

It is an arithmetic number, because the mean of its divisors is an integer number (25354759754493).

Almost surely, 2^{101100111222001} is an apocalyptic number.

It is an amenable number.

101100111222001 is a deficient number, since it is larger than the sum of its proper divisors (318927795971).

101100111222001 is an equidigital number, since it uses as much as digits as its factorization.

101100111222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318927795970.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101100111222001 its reverse (100222111001101), we get a palindrome (201322222223102).

The spelling of 101100111222001 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, two hundred twenty-two thousand, one".