2221122220002 has 96 divisors (see below), whose sum is σ = 5754758486400. Its totient is φ = 633160444896.

The previous prime is 2221122219989. The next prime is 2221122220039. The reversal of 2221122220002 is 2000222211222.

It is a super-2 number, since 2×2221122220002² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205528 + ... + 2117660.

It is an arithmetic number, because the mean of its divisors is an integer number (59945400900).

Almost surely, 2^{2221122220002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221122220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877379243200).

2221122220002 is an abundant number, since it is smaller than the sum of its proper divisors (3533636266398).

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

2221122220002 is a wasteful number, since it uses less digits than its factorization.

2221122220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912597 (or 1912584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221122220002 its reverse (2000222211222), we get a palindrome (4221344431224).

It can be divided in two parts, 22211222 and 20002, that multiplied together give a palindrome (444268862444).

The spelling of 2221122220002 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, two".