101334004222001 has 8 divisors (see below), whose sum is σ = 106035758728704. Its totient is φ = 96721806944160.

The previous prime is 101334004221979. The next prime is 101334004222019. The reversal of 101334004222001 is 100222400433101.

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 101334004222001 - 2²⁶ = 101333937113137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101334094222001) 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, 22389304901 + ... + 22389309426.

It is an arithmetic number, because the mean of its divisors is an integer number (13254469841088).

Almost surely, 2^{101334004222001} is an apocalyptic number.

It is an amenable number.

101334004222001 is a deficient number, since it is larger than the sum of its proper divisors (4701754506703).

101334004222001 is an equidigital number, since it uses as much as digits as its factorization.

101334004222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44778614431.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101334004222001 its reverse (100222400433101), we get a palindrome (201556404655102).

The spelling of 101334004222001 in words is "one hundred one trillion, three hundred thirty-four billion, four million, two hundred twenty-two thousand, one".