20101112101 has 16 divisors (see below), whose sum is σ = 23719403520. Its totient is φ = 16669761840.

The previous prime is 20101112099. The next prime is 20101112117. The reversal of 20101112101 is 10121110102.

It is a cyclic number.

It is not a de Polignac number, because 20101112101 - 2¹ = 20101112099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101112191) 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, 1215450 + ... + 1231876.

It is an arithmetic number, because the mean of its divisors is an integer number (1482462720).

Almost surely, 2^20101112101 is an apocalyptic number.

It is an amenable number.

20101112101 is a deficient number, since it is larger than the sum of its proper divisors (3618291419).

20101112101 is a wasteful number, since it uses less digits than its factorization.

20101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20101112101 its reverse (10121110102), we get a palindrome (30222222203).

It can be divided in two parts, 2010 and 1112101, that added together give a palindrome (1114111).

The spelling of 20101112101 in words is "twenty billion, one hundred one million, one hundred twelve thousand, one hundred one".