101004400743401 has 8 divisors (see below), whose sum is σ = 101327201103240. Its totient is φ = 100681626638848.

The previous prime is 101004400743349. The next prime is 101004400743403. The reversal of 101004400743401 is 104347004400101.

It can be written as a sum of positive squares in 4 ways, for example, as 2182888051600 + 98821512691801 = 1477460^2 + 9940901^2 .

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 101004400743401 - 2⁴⁶ = 30635656565737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101004400743403) 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, 1156985 + ... + 14259993.

It is an arithmetic number, because the mean of its divisors is an integer number (12665900137905).

Almost surely, 2^{101004400743401} is an apocalyptic number.

It is an amenable number.

101004400743401 is a deficient number, since it is larger than the sum of its proper divisors (322800359839).

101004400743401 is a wasteful number, since it uses less digits than its factorization.

101004400743401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13127643.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 101004400743401 in words is "one hundred one trillion, four billion, four hundred million, seven hundred forty-three thousand, four hundred one".