101021220300 has 864 divisors, whose sum is σ = 399829409280. Its totient is φ = 19121356800.

The previous prime is 101021220281. The next prime is 101021220343. The reversal of 101021220300 is 3022120101.

It is a super-2 number, since 2×101021220300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 441140586 + ... + 441140814.

It is an arithmetic number, because the mean of its divisors is an integer number (462765520).

Almost surely, 2^101021220300 is an apocalyptic number.

101021220300 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 101021220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199914704640).

101021220300 is an abundant number, since it is smaller than the sum of its proper divisors (298808188980).

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

101021220300 is a wasteful number, since it uses less digits than its factorization.

101021220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101021220300 its reverse (3022120101), we get a palindrome (104043340401).

The spelling of 101021220300 in words is "one hundred one billion, twenty-one million, two hundred twenty thousand, three hundred".