10100003101 has 8 divisors (see below), whose sum is σ = 10670584320. Its totient is φ = 9544242288.

The previous prime is 10100003051. The next prime is 10100003107. The reversal of 10100003101 is 10130000101.

It is a happy number.

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 10100003101 - 2²⁵ = 10066448669 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 (10100003107) 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, 3703701 + ... + 3706426.

It is an arithmetic number, because the mean of its divisors is an integer number (1333823040).

Almost surely, 2^10100003101 is an apocalyptic number.

It is an amenable number.

10100003101 is a deficient number, since it is larger than the sum of its proper divisors (570581219).

10100003101 is an equidigital number, since it uses as much as digits as its factorization.

10100003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410203.

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

Adding to 10100003101 its reverse (10130000101), we get a palindrome (20230003202).

It can be divided in two parts, 1010000 and 3101, that added together give a palindrome (1013101).

The spelling of 10100003101 in words is "ten billion, one hundred million, three thousand, one hundred one".