100312200211003 has 64 divisors (see below), whose sum is σ = 112793828659200. Its totient is φ = 88431870115840.

The previous prime is 100312200210977. The next prime is 100312200211031. The reversal of 100312200211003 is 300112002213001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100312200211003 is a prime.

It is a super-2 number, since 2×100312200211003² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100312200211033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21438809418 + ... + 21438814096.

It is an arithmetic number, because the mean of its divisors is an integer number (1762403572800).

Almost surely, 2^{100312200211003} is an apocalyptic number.

100312200211003 is a deficient number, since it is larger than the sum of its proper divisors (12481628448197).

100312200211003 is a wasteful number, since it uses less digits than its factorization.

100312200211003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100312200211003 its reverse (300112002213001), we get a palindrome (400424202424004).

The spelling of 100312200211003 in words is "one hundred trillion, three hundred twelve billion, two hundred million, two hundred eleven thousand, three".