10100001002103 has 32 divisors (see below), whose sum is σ = 15338363083200. Its totient is φ = 6566477372928.

The previous prime is 10100001002099. The next prime is 10100001002149. The reversal of 10100001002103 is 30120010000101.

It is not a de Polignac number, because 10100001002103 - 2² = 10100001002099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001002173) 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, 28612800 + ... + 28963637.

It is an arithmetic number, because the mean of its divisors is an integer number (479323846350).

Almost surely, 2^{10100001002103} is an apocalyptic number.

10100001002103 is a deficient number, since it is larger than the sum of its proper divisors (5238362081097).

10100001002103 is an equidigital number, since it uses as much as digits as its factorization.

10100001002103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57576608 (or 57576602 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100001002103 its reverse (30120010000101), we get a palindrome (40220011002204).

The spelling of 10100001002103 in words is "ten trillion, one hundred billion, one million, two thousand, one hundred three".