220010101100010 has 384 divisors, whose sum is σ = 647990136009216. Its totient is φ = 51437386506240.

The previous prime is 220010101099993. The next prime is 220010101100017. The reversal of 220010101100010 is 10001101010022.

It is a happy number.

220010101100010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220010101099965 and 220010101100001.

It is not an unprimeable number, because it can be changed into a prime (220010101100017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 260334862 + ... + 261178598.

It is an arithmetic number, because the mean of its divisors is an integer number (1687474312524).

Almost surely, 2^{220010101100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220010101100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323995068004608).

220010101100010 is an abundant number, since it is smaller than the sum of its proper divisors (427980034909206).

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

220010101100010 is a wasteful number, since it uses less digits than its factorization.

220010101100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843950 (or 843947 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 220010101100010 its reverse (10001101010022), we get a palindrome (230011202110032).

The spelling of 220010101100010 in words is "two hundred twenty trillion, ten billion, one hundred one million, one hundred thousand, ten".