10221400032 has 48 divisors (see below), whose sum is σ = 26840518992. Its totient is φ = 3405946880.

The previous prime is 10221400027. The next prime is 10221400087. The reversal of 10221400032 is 23000412201.

10221400032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10221400032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221399984 and 10221400020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284182 + ... + 318122.

It is an arithmetic number, because the mean of its divisors is an integer number (559177479).

Almost surely, 2^10221400032 is an apocalyptic number.

10221400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221400032 is an abundant number, since it is smaller than the sum of its proper divisors (16619118960).

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

10221400032 is a wasteful number, since it uses less digits than its factorization.

10221400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37091 (or 37083 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10221400032 its reverse (23000412201), we get a palindrome (33221812233).

The spelling of 10221400032 in words is "ten billion, two hundred twenty-one million, four hundred thousand, thirty-two".