1000100003101 has 4 divisors (see below), whose sum is σ = 1023358142752. Its totient is φ = 976841863452.

The previous prime is 1000100003069. The next prime is 1000100003117. The reversal of 1000100003101 is 1013000010001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1000100003101 - 2⁵ = 1000100003069 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 (1000100003141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11629069761 + ... + 11629069846.

It is an arithmetic number, because the mean of its divisors is an integer number (255839535688).

Almost surely, 2^{1000100003101} is an apocalyptic number.

It is an amenable number.

1000100003101 is a deficient number, since it is larger than the sum of its proper divisors (23258139651).

1000100003101 is an equidigital number, since it uses as much as digits as its factorization.

1000100003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23258139650.

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

Adding to 1000100003101 its reverse (1013000010001), we get a palindrome (2013100013102).

The spelling of 1000100003101 in words is "one trillion, one hundred million, three thousand, one hundred one".