10001003671077 has 16 divisors (see below), whose sum is σ = 13384141605120. Its totient is φ = 6642601732800.

The previous prime is 10001003671031. The next prime is 10001003671091. The reversal of 10001003671077 is 77017630010001.

It is not a de Polignac number, because 10001003671077 - 2²⁷ = 10000869453349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001007671077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58239699 + ... + 58411167.

It is an arithmetic number, because the mean of its divisors is an integer number (836508850320).

Almost surely, 2^{10001003671077} is an apocalyptic number.

It is an amenable number.

10001003671077 is a deficient number, since it is larger than the sum of its proper divisors (3383137934043).

10001003671077 is a wasteful number, since it uses less digits than its factorization.

10001003671077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243484.

The product of its (nonzero) digits is 6174, while the sum is 33.

Adding to 10001003671077 its reverse (77017630010001), we get a palindrome (87018633681078).

The spelling of 10001003671077 in words is "ten trillion, one billion, three million, six hundred seventy-one thousand, seventy-seven".