20101013110321 has 64 divisors (see below), whose sum is σ = 24209908321536. Its totient is φ = 16449384960000.

The previous prime is 20101013110313. The next prime is 20101013110331. The reversal of 20101013110321 is 12301131010102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20101013110321 - 2³ = 20101013110313 is a prime.

It is a super-2 number, since 2×20101013110321² (a number of 27 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 = 20101013110295 and 20101013110304.

It is not an unprimeable number, because it can be changed into a prime (20101013110331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358937895 + ... + 358993891.

It is an arithmetic number, because the mean of its divisors is an integer number (378279817524).

Almost surely, 2^{20101013110321} is an apocalyptic number.

It is an amenable number.

20101013110321 is a deficient number, since it is larger than the sum of its proper divisors (4108895211215).

20101013110321 is a wasteful number, since it uses less digits than its factorization.

20101013110321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56482.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 20101013110321 its reverse (12301131010102), we get a palindrome (32402144120423).

It can be divided in two parts, 201010 and 13110321, that added together give a palindrome (13311331).

The spelling of 20101013110321 in words is "twenty trillion, one hundred one billion, thirteen million, one hundred ten thousand, three hundred twenty-one".