100105101000511 has 4 divisors (see below), whose sum is σ = 100204313192800. Its totient is φ = 100005888808224.

The previous prime is 100105101000503. The next prime is 100105101000559. The reversal of 100105101000511 is 115000101501001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100105101000511 - 2³ = 100105101000503 is a prime.

It is a super-2 number, since 2×100105101000511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105101000211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49606094631 + ... + 49606096648.

It is an arithmetic number, because the mean of its divisors is an integer number (25051078298200).

Almost surely, 2^{100105101000511} is an apocalyptic number.

100105101000511 is a deficient number, since it is larger than the sum of its proper divisors (99212192289).

100105101000511 is an equidigital number, since it uses as much as digits as its factorization.

100105101000511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99212192288.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 100105101000511 its reverse (115000101501001), we get a palindrome (215105202501512).

The spelling of 100105101000511 in words is "one hundred trillion, one hundred five billion, one hundred one million, five hundred eleven", and thus it is an aban number.