221000301020100 has 432 divisors, whose sum is σ = 756539938344960. Its totient is φ = 49651031404800.

The previous prime is 221000301020077. The next prime is 221000301020153. The reversal of 221000301020100 is 1020103000122.

It is a super-2 number, since 2×221000301020100² (a number of 29 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 143 ways as a sum of consecutive naturals, for example, 8075416617 + ... + 8075443983.

It is an arithmetic number, because the mean of its divisors is an integer number (1751249857280).

Almost surely, 2^{221000301020100} is an apocalyptic number.

221000301020100 is a gapful number since it is divisible by the number (20) 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 221000301020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378269969172480).

221000301020100 is an abundant number, since it is smaller than the sum of its proper divisors (535539637324860).

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

221000301020100 is a wasteful number, since it uses less digits than its factorization.

221000301020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36768 (or 36754 counting only the distinct ones).

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

Adding to 221000301020100 its reverse (1020103000122), we get a palindrome (222020404020222).

The spelling of 221000301020100 in words is "two hundred twenty-one trillion, three hundred one million, twenty thousand, one hundred".