10012132321 has 16 divisors (see below), whose sum is σ = 10296082368. Its totient is φ = 9731966400.

The previous prime is 10012132307. The next prime is 10012132343. The reversal of 10012132321 is 12323121001.

It is a cyclic number.

It is not a de Polignac number, because 10012132321 - 2¹⁵ = 10012099553 is a prime.

It is a super-2 number, since 2×10012132321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012132295 and 10012132304.

It is not an unprimeable number, because it can be changed into a prime (10012132301) 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, 7754686 + ... + 7755976.

It is an arithmetic number, because the mean of its divisors is an integer number (643505148).

Almost surely, 2^10012132321 is an apocalyptic number.

It is an amenable number.

10012132321 is a deficient number, since it is larger than the sum of its proper divisors (283950047).

10012132321 is a wasteful number, since it uses less digits than its factorization.

10012132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10012132321 its reverse (12323121001), we get a palindrome (22335253322).

The spelling of 10012132321 in words is "ten billion, twelve million, one hundred thirty-two thousand, three hundred twenty-one".