22221211010020 has 192 divisors, whose sum is σ = 53946309795840. Its totient is φ = 7603727040000.

The previous prime is 22221211009973. The next prime is 22221211010081. The reversal of 22221211010020 is 2001011212222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22221211009976 and 22221211010003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3117887697 + ... + 3117894823.

It is an arithmetic number, because the mean of its divisors is an integer number (280970363520).

Almost surely, 2^{22221211010020} is an apocalyptic number.

22221211010020 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 22221211010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26973154897920).

22221211010020 is an abundant number, since it is smaller than the sum of its proper divisors (31725098785820).

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

22221211010020 is a wasteful number, since it uses less digits than its factorization.

22221211010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12074 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22221211010020 its reverse (2001011212222), we get a palindrome (24222222222242).

The spelling of 22221211010020 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, ten thousand, twenty".