100101101310 has 48 divisors (see below), whose sum is σ = 297443274336. Its totient is φ = 22880251584.

The previous prime is 100101101267. The next prime is 100101101311. The reversal of 100101101310 is 13101101001.

It is a super-2 number, since 2×100101101310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101101292 and 100101101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79444689 + ... + 79445948.

It is an arithmetic number, because the mean of its divisors is an integer number (6196734882).

Almost surely, 2^100101101310 is an apocalyptic number.

100101101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101101310 is an abundant number, since it is smaller than the sum of its proper divisors (197342173026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101101310 is a wasteful number, since it uses less digits than its factorization.

100101101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158890657 (or 158890654 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100101101310 its reverse (13101101001), we get a palindrome (113202202311).

The spelling of 100101101310 in words is "one hundred billion, one hundred one million, one hundred one thousand, three hundred ten".