100020101310 has 24 divisors (see below), whose sum is σ = 260052263640. Its totient is φ = 26672026992.

The previous prime is 100020101309. The next prime is 100020101329. The reversal of 100020101310 is 13101020001.

It is a super-2 number, since 2×100020101310² (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 = 100020101292 and 100020101301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555667140 + ... + 555667319.

It is an arithmetic number, because the mean of its divisors is an integer number (10835510985).

Almost surely, 2^100020101310 is an apocalyptic number.

100020101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020101310 is an abundant number, since it is smaller than the sum of its proper divisors (160032162330).

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

100020101310 is a wasteful number, since it uses less digits than its factorization.

100020101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111334472 (or 1111334469 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100020101310 its reverse (13101020001), we get a palindrome (113121121311).

The spelling of 100020101310 in words is "one hundred billion, twenty million, one hundred one thousand, three hundred ten".