10201222080 has 448 divisors, whose sum is σ = 42463272960. Its totient is φ = 2256076800.

The previous prime is 10201222021. The next prime is 10201222081. The reversal of 10201222080 is 8022210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201222081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1872160 + ... + 1877600.

Almost surely, 2^10201222080 is an apocalyptic number.

10201222080 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 10201222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21231636480).

10201222080 is an abundant number, since it is smaller than the sum of its proper divisors (32262050880).

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

10201222080 is a wasteful number, since it uses less digits than its factorization.

10201222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10201222080 its reverse (8022210201), we get a palindrome (18223432281).

The spelling of 10201222080 in words is "ten billion, two hundred one million, two hundred twenty-two thousand, eighty".