20101022000111 has 32 divisors (see below), whose sum is σ = 23282287358400. Its totient is φ = 17217151902720.

The previous prime is 20101022000063. The next prime is 20101022000117. The reversal of 20101022000111 is 11100022010102.

It is a cyclic number.

It is not a de Polignac number, because 20101022000111 - 2¹⁰ = 20101021999087 is a prime.

It is a super-3 number, since 3×20101022000111³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101022000092 and 20101022000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101022000117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8669216 + ... + 10740453.

It is an arithmetic number, because the mean of its divisors is an integer number (727571479950).

Almost surely, 2^{20101022000111} is an apocalyptic number.

20101022000111 is a deficient number, since it is larger than the sum of its proper divisors (3181265358289).

20101022000111 is a wasteful number, since it uses less digits than its factorization.

20101022000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409819.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20101022000111 its reverse (11100022010102), we get a palindrome (31201044010213).

Subtracting from 20101022000111 its reverse (11100022010102), we obtain a palindrome (9000999990009).

The spelling of 20101022000111 in words is "twenty trillion, one hundred one billion, twenty-two million, one hundred eleven", and thus it is an aban number.