220022011010000 has 100 divisors (see below), whose sum is σ = 533138863081044. Its totient is φ = 87935520000000.

The previous prime is 220022011009903. The next prime is 220022011010017. The reversal of 220022011010000 is 10110220022.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 220018007664016 + 4003345984 = 14833004^2 + 63272^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×220022011010000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2850050 + ... + 21169950.

Almost surely, 2^{220022011010000} is an apocalyptic number.

220022011010000 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 220022011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266569431540522).

220022011010000 is an abundant number, since it is smaller than the sum of its proper divisors (313116852071044).

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

220022011010000 is a wasteful number, since it uses less digits than its factorization.

220022011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18321130 (or 18321109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220022011010000 its reverse (10110220022), we get a palindrome (220032121230022).

The spelling of 220022011010000 in words is "two hundred twenty trillion, twenty-two billion, eleven million, ten thousand".