221010010122 has 64 divisors (see below), whose sum is σ = 487161537408. Its totient is φ = 66284640000.

The previous prime is 221010010121. The next prime is 221010010159.

221010010122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×221010010122³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221010010098 and 221010010107.

It is not an unprimeable number, because it can be changed into a prime (221010010121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25466448 + ... + 25475124.

It is an arithmetic number, because the mean of its divisors is an integer number (7611899022).

Almost surely, 2^221010010122 is an apocalyptic number.

221010010122 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 221010010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243580768704).

221010010122 is an abundant number, since it is smaller than the sum of its proper divisors (266151527286).

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

221010010122 is a wasteful number, since it uses less digits than its factorization.

221010010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12615.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2210100 and 10122, that added together give a palindrome (2220222).

The spelling of 221010010122 in words is "two hundred twenty-one billion, ten million, ten thousand, one hundred twenty-two".