10001101007 has 8 divisors (see below), whose sum is σ = 10257291360. Its totient is φ = 9747410400.

The previous prime is 10001100997. The next prime is 10001101009. The reversal of 10001101007 is 70010110001.

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 10001101007 - 2⁶ = 10001100943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101009) 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, 616832 + ... + 632837.

It is an arithmetic number, because the mean of its divisors is an integer number (1282161420).

Almost surely, 2^10001101007 is an apocalyptic number.

10001101007 is a deficient number, since it is larger than the sum of its proper divisors (256190353).

10001101007 is a wasteful number, since it uses less digits than its factorization.

10001101007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249873.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 10001101007 its reverse (70010110001), we get a palindrome (80011211008).

The spelling of 10001101007 in words is "ten billion, one million, one hundred one thousand, seven".