10100101000003 has 32 divisors (see below), whose sum is σ = 11611323795456. Its totient is φ = 8606136809088.

The previous prime is 10100100999997. The next prime is 10100101000019. The reversal of 10100101000003 is 30000010100101.

It is a happy number.

It is not a de Polignac number, because 10100101000003 - 2²⁵ = 10100067445571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a self number, because there is not a number n which added to its sum of digits gives 10100101000003.

It is not an unprimeable number, because it can be changed into a prime (10100101000103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021266950 + ... + 3021270292.

It is an arithmetic number, because the mean of its divisors is an integer number (362853868608).

Almost surely, 2^{10100101000003} is an apocalyptic number.

10100101000003 is a deficient number, since it is larger than the sum of its proper divisors (1511222795453).

10100101000003 is a wasteful number, since it uses less digits than its factorization.

10100101000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10100101000003 its reverse (30000010100101), we get a palindrome (40100111100104).

The spelling of 10100101000003 in words is "ten trillion, one hundred billion, one hundred one million, three", and thus it is an aban number.