20100112101 has 24 divisors (see below), whose sum is σ = 29862823640. Its totient is φ = 13018392576.

The previous prime is 20100112079. The next prime is 20100112127. The reversal of 20100112101 is 10121100102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6643880100 + 13456232001 = 81510^2 + 116001^2 .

It is not a de Polignac number, because 20100112101 - 2¹¹ = 20100110053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100112181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179265 + ... + 268953.

Almost surely, 2^20100112101 is an apocalyptic number.

It is an amenable number.

20100112101 is a deficient number, since it is larger than the sum of its proper divisors (9762711539).

20100112101 is a wasteful number, since it uses less digits than its factorization.

20100112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90405 (or 90402 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20100112101 its reverse (10121100102), we get a palindrome (30221212203).

The spelling of 20100112101 in words is "twenty billion, one hundred million, one hundred twelve thousand, one hundred one".