101000010003 has 16 divisors (see below), whose sum is σ = 143614074240. Its totient is φ = 62916633216.

The previous prime is 101000009983. The next prime is 101000010017. The reversal of 101000010003 is 300010000101.

It is not a de Polignac number, because 101000010003 - 2¹⁰ = 101000008979 is a prime.

It is a super-2 number, since 2×101000010003² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000009973 and 101000010000.

It is not an unprimeable number, because it can be changed into a prime (101000050003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7116625 + ... + 7130802.

It is an arithmetic number, because the mean of its divisors is an integer number (8975879640).

Almost surely, 2^101000010003 is an apocalyptic number.

101000010003 is a deficient number, since it is larger than the sum of its proper divisors (42614064237).

101000010003 is a wasteful number, since it uses less digits than its factorization.

101000010003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247586.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 101000010003 its reverse (300010000101), we get a palindrome (401010010104).

The spelling of 101000010003 in words is "one hundred one billion, ten thousand, three".