10221122000 has 40 divisors (see below), whose sum is σ = 24714677832. Its totient is φ = 4088448000.

The previous prime is 10221121951. The next prime is 10221122081. The reversal of 10221122000 is 22112201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136142224 + 10084979776 = 11668^2 + 100424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2553281 + ... + 2557280.

Almost surely, 2^10221122000 is an apocalyptic number.

10221122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221122000 is an abundant number, since it is smaller than the sum of its proper divisors (14493555832).

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

10221122000 is an equidigital number, since it uses as much as digits as its factorization.

10221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110584 (or 5110568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10221122000 its reverse (22112201), we get a palindrome (10243234201).

The spelling of 10221122000 in words is "ten billion, two hundred twenty-one million, one hundred twenty-two thousand".