101200020300 has 144 divisors (see below), whose sum is σ = 327681110400. Its totient is φ = 26792424000.

The previous prime is 101200020293. The next prime is 101200020323. The reversal of 101200020300 is 3020002101.

It is a happy number.

It is a super-3 number, since 3×101200020300³ (a number of 34 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 240475 + ... + 510125.

Almost surely, 2^101200020300 is an apocalyptic number.

101200020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840555200).

101200020300 is an abundant number, since it is smaller than the sum of its proper divisors (226481090100).

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

101200020300 is a wasteful number, since it uses less digits than its factorization.

101200020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269813 (or 269800 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101200020300 its reverse (3020002101), we get a palindrome (104220022401).

The spelling of 101200020300 in words is "one hundred one billion, two hundred million, twenty thousand, three hundred".