101112101 has 4 divisors (see below), whose sum is σ = 101138604. Its totient is φ = 101085600.

The previous prime is 101112097. The next prime is 101112103. The reversal of 101112101 is 101211101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 13315201 + 87796900 = 3649^2 + 9370^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112101 - 2² = 101112097 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 (101112103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6320 + ... + 15561.

It is an arithmetic number, because the mean of its divisors is an integer number (25284651).

Almost surely, 2^101112101 is an apocalyptic number.

It is an amenable number.

101112101 is a deficient number, since it is larger than the sum of its proper divisors (26503).

101112101 is an equidigital number, since it uses as much as digits as its factorization.

101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 101112101 is about 10055.4513076241. The cubic root of 101112101 is about 465.8731825945.

Adding to 101112101 its reverse (101211101), we get a palindrome (202323202).

It can be divided in two parts, 10 and 1112101, that added together give a palindrome (1112111).

The spelling of 101112101 in words is "one hundred one million, one hundred twelve thousand, one hundred one".