10101000032321 has 16 divisors (see below), whose sum is σ = 11117274841728. Its totient is φ = 9101066016000.

The previous prime is 10101000032297. The next prime is 10101000032323. The reversal of 10101000032321 is 12323000010101.

It is a cyclic number.

It is not a de Polignac number, because 10101000032321 - 2⁴² = 5702953521217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101000032296 and 10101000032305.

It is not an unprimeable number, because it can be changed into a prime (10101000032323) 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, 30351395 + ... + 30682391.

It is an arithmetic number, because the mean of its divisors is an integer number (694829677608).

Almost surely, 2^{10101000032321} is an apocalyptic number.

10101000032321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101000032321 is a deficient number, since it is larger than the sum of its proper divisors (1016274809407).

10101000032321 is a wasteful number, since it uses less digits than its factorization.

10101000032321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355672.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10101000032321 its reverse (12323000010101), we get a palindrome (22424000042422).

The spelling of 10101000032321 in words is "ten trillion, one hundred one billion, thirty-two thousand, three hundred twenty-one".