10222212122220 has 768 divisors, whose sum is σ = 34985405952000. Its totient is φ = 2181079498752.

The previous prime is 10222212122219. The next prime is 10222212122231. The reversal of 10222212122220 is 2222121222201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17716138572 + ... + 17716139148.

It is an arithmetic number, because the mean of its divisors is an integer number (45553914000).

Almost surely, 2^{10222212122220} is an apocalyptic number.

10222212122220 is a gapful number since it is divisible by the number (10) 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 10222212122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492702976000).

10222212122220 is an abundant number, since it is smaller than the sum of its proper divisors (24763193829780).

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

10222212122220 is a wasteful number, since it uses less digits than its factorization.

10222212122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10222212122220 its reverse (2222121222201), we get a palindrome (12444333344421).

The spelling of 10222212122220 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".