10002007101 has 8 divisors (see below), whose sum is σ = 13346360640. Its totient is φ = 6662829152.

The previous prime is 10002007027. The next prime is 10002007109. The reversal of 10002007101 is 10170020001.

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 10002007101 - 2²³ = 9993618493 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002007109) 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, 1289385 + ... + 1297118.

It is an arithmetic number, because the mean of its divisors is an integer number (1668295080).

Almost surely, 2^10002007101 is an apocalyptic number.

It is an amenable number.

10002007101 is a deficient number, since it is larger than the sum of its proper divisors (3344353539).

10002007101 is a wasteful number, since it uses less digits than its factorization.

10002007101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587795.

The product of its (nonzero) digits is 14, while the sum is 12.

Adding to 10002007101 its reverse (10170020001), we get a palindrome (20172027102).

The spelling of 10002007101 in words is "ten billion, two million, seven thousand, one hundred one".