201020100020111 has 8 divisors (see below), whose sum is σ = 201380286434784. Its totient is φ = 200660229423360.

The previous prime is 201020100020063. The next prime is 201020100020153. The reversal of 201020100020111 is 111020001020102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201020100020111 - 2³⁸ = 200745222113167 is a prime.

It is a super-2 number, since 2×201020100020111² (a number of 29 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 = 201020100020092 and 201020100020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020100010111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77680310 + ... + 80226371.

It is an arithmetic number, because the mean of its divisors is an integer number (25172535804348).

Almost surely, 2^{201020100020111} is an apocalyptic number.

201020100020111 is a deficient number, since it is larger than the sum of its proper divisors (360186414673).

201020100020111 is a wasteful number, since it uses less digits than its factorization.

201020100020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157908961.

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

Adding to 201020100020111 its reverse (111020001020102), we get a palindrome (312040101040213).

Subtracting from 201020100020111 its reverse (111020001020102), we obtain a palindrome (90000099000009).

The spelling of 201020100020111 in words is "two hundred one trillion, twenty billion, one hundred million, twenty thousand, one hundred eleven".