221301303103122 has 96 divisors (see below), whose sum is σ = 491502622222080. Its totient is φ = 66371524032000.

The previous prime is 221301303103117. The next prime is 221301303103211.

221301303103122 is nontrivially palindromic in base 10.

221301303103122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221301303103122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221301303103092 and 221301303103101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190729143 + ... + 191885925.

It is an arithmetic number, because the mean of its divisors is an integer number (5119818981480).

Almost surely, 2^{221301303103122} is an apocalyptic number.

221301303103122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221301303103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245751311111040).

221301303103122 is an abundant number, since it is smaller than the sum of its proper divisors (270201319118958).

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

221301303103122 is a wasteful number, since it uses less digits than its factorization.

221301303103122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159520 (or 1159509 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 22130130 and 3103122, that added together give a palindrome (25233252).

The spelling of 221301303103122 in words is "two hundred twenty-one trillion, three hundred one billion, three hundred three million, one hundred three thousand, one hundred twenty-two".