10122222002000 has 80 divisors (see below), whose sum is σ = 25319516835600. Its totient is φ = 3909271923200.

The previous prime is 10122222001981. The next prime is 10122222002003. The reversal of 10122222002000 is 20022222101.

It can be written as a sum of positive squares in 8 ways, for example, as 671442581056 + 9450779420944 = 819416^2 + 3074212^2 .

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 (10122222002003) 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, 87202535 + ... + 87318534.

It is an arithmetic number, because the mean of its divisors is an integer number (316493960445).

Almost surely, 2^{10122222002000} is an apocalyptic number.

10122222002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122222002000 is an abundant number, since it is smaller than the sum of its proper divisors (15197294833600).

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

10122222002000 is a wasteful number, since it uses less digits than its factorization.

10122222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174521121 (or 174521105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10122222002000 its reverse (20022222101), we get a palindrome (10142244224101).

The spelling of 10122222002000 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, two thousand".