101820112300 has 36 divisors (see below), whose sum is σ = 221026384656. Its totient is φ = 40713899200.

The previous prime is 101820112291. The next prime is 101820112321. The reversal of 101820112300 is 3211028101.

It is a super-2 number, since 2×101820112300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114930 + ... + 465670.

It is an arithmetic number, because the mean of its divisors is an integer number (6139621796).

Almost surely, 2^101820112300 is an apocalyptic number.

101820112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101820112300 is an abundant number, since it is smaller than the sum of its proper divisors (119206272356).

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

101820112300 is a wasteful number, since it uses less digits than its factorization.

101820112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353658 (or 353651 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The spelling of 101820112300 in words is "one hundred one billion, eight hundred twenty million, one hundred twelve thousand, three hundred".