2222010100002 has 384 divisors, whose sum is σ = 5830238269440. Its totient is φ = 558036864000.

The previous prime is 2222010099997. The next prime is 2222010100021. The reversal of 2222010100002 is 2000010102222.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4758051373 + ... + 4758051839.

It is an arithmetic number, because the mean of its divisors is an integer number (15182912160).

Almost surely, 2^{2222010100002} is an apocalyptic number.

2222010100002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222010100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915119134720).

2222010100002 is an abundant number, since it is smaller than the sum of its proper divisors (3608228169438).

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

2222010100002 is a wasteful number, since it uses less digits than its factorization.

2222010100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2222010100002 its reverse (2000010102222), we get a palindrome (4222020202224).

The spelling of 2222010100002 in words is "two trillion, two hundred twenty-two billion, ten million, one hundred thousand, two".