10022011222000 has 80 divisors (see below), whose sum is σ = 24252176332800. Its totient is φ = 4005669139200.

The previous prime is 10022011221991. The next prime is 10022011222009. The reversal of 10022011222000 is 22211022001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10022011221991) and next prime (10022011222009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022011222009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599046 + ... + 4516954.

It is an arithmetic number, because the mean of its divisors is an integer number (303152204160).

Almost surely, 2^{10022011222000} is an apocalyptic number.

10022011222000 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 10022011222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126088166400).

10022011222000 is an abundant number, since it is smaller than the sum of its proper divisors (14230165110800).

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

10022011222000 is a wasteful number, since it uses less digits than its factorization.

10022011222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919211 (or 3919195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022011222000 its reverse (22211022001), we get a palindrome (10044222244001).

The spelling of 10022011222000 in words is "ten trillion, twenty-two billion, eleven million, two hundred twenty-two thousand".