101011000100003 has 16 divisors (see below), whose sum is σ = 115531035170304. Its totient is φ = 86513454941760.

The previous prime is 101011000099979. The next prime is 101011000100039. The reversal of 101011000100003 is 300001000110101.

It is not a de Polignac number, because 101011000100003 - 2³⁴ = 100993820230819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011000100503) 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, 71598743 + ... + 72995903.

It is an arithmetic number, because the mean of its divisors is an integer number (7220689698144).

Almost surely, 2^{101011000100003} is an apocalyptic number.

101011000100003 is a deficient number, since it is larger than the sum of its proper divisors (14520035070301).

101011000100003 is a wasteful number, since it uses less digits than its factorization.

101011000100003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405202.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101011000100003 its reverse (300001000110101), we get a palindrome (401012000210104).

The spelling of 101011000100003 in words is "one hundred one trillion, eleven billion, one hundred thousand, three".