100010101003 has 8 divisors (see below), whose sum is σ = 104402033568. Its totient is φ = 95621807424.

The previous prime is 100010100977. The next prime is 100010101027. The reversal of 100010101003 is 300101010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100010101003 - 2¹³ = 100010092811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010101063) 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, 853500 + ... + 963577.

It is an arithmetic number, because the mean of its divisors is an integer number (13050254196).

Almost surely, 2^100010101003 is an apocalyptic number.

100010101003 is a deficient number, since it is larger than the sum of its proper divisors (4391932565).

100010101003 is a wasteful number, since it uses less digits than its factorization.

100010101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819493.

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

Adding to 100010101003 its reverse (300101010001), we get a palindrome (400111111004).

The spelling of 100010101003 in words is "one hundred billion, ten million, one hundred one thousand, three".