101112003224401 has 8 divisors (see below), whose sum is σ = 115295134898664. Its totient is φ = 87843912303360.

The previous prime is 101112003224399. The next prime is 101112003224437. The reversal of 101112003224401 is 104422300211101.

It can be written as a sum of positive squares in 4 ways, for example, as 5878782144400 + 95233221080001 = 2424620^2 + 9758751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101112003224401 - 2¹ = 101112003224399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112003224471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228760188070 + ... + 228760188511.

It is an arithmetic number, because the mean of its divisors is an integer number (14411891862333).

Almost surely, 2^{101112003224401} is an apocalyptic number.

It is an amenable number.

101112003224401 is a deficient number, since it is larger than the sum of its proper divisors (14183131674263).

101112003224401 is a wasteful number, since it uses less digits than its factorization.

101112003224401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457520376611.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101112003224401 its reverse (104422300211101), we get a palindrome (205534303435502).

The spelling of 101112003224401 in words is "one hundred one trillion, one hundred twelve billion, three million, two hundred twenty-four thousand, four hundred one".