10120221312300 has 216 divisors, whose sum is σ = 35798301105840. Its totient is φ = 2368787366400.

The previous prime is 10120221312281. The next prime is 10120221312307. The reversal of 10120221312300 is 321312202101.

10120221312300 is a `hidden beast` number, since 10 + 1 + 20 + 2 + 21 + 312 + 300 = 666.

It is a super-2 number, since 2×10120221312300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10120221312307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17337807 + ... + 17912006.

It is an arithmetic number, because the mean of its divisors is an integer number (165732875490).

Almost surely, 2^{10120221312300} is an apocalyptic number.

10120221312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120221312300 is an abundant number, since it is smaller than the sum of its proper divisors (25678079793540).

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

10120221312300 is a wasteful number, since it uses less digits than its factorization.

10120221312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35249873 (or 35249863 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10120221312300 its reverse (321312202101), we get a palindrome (10441533514401).

The spelling of 10120221312300 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, three hundred twelve thousand, three hundred".