101112331101 has 16 divisors (see below), whose sum is σ = 135794232000. Its totient is φ = 66919812608.

The previous prime is 101112331079. The next prime is 101112331121. The reversal of 101112331101 is 101133211101.

It is a cyclic number.

It is not a de Polignac number, because 101112331101 - 2¹¹ = 101112329053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112331121) 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, 784510 + ... + 904256.

It is an arithmetic number, because the mean of its divisors is an integer number (8487139500).

Almost surely, 2^101112331101 is an apocalyptic number.

It is an amenable number.

101112331101 is a deficient number, since it is larger than the sum of its proper divisors (34681900899).

101112331101 is a wasteful number, since it uses less digits than its factorization.

101112331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121788.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101112331101 its reverse (101133211101), we get a palindrome (202245542202).

The spelling of 101112331101 in words is "one hundred one billion, one hundred twelve million, three hundred thirty-one thousand, one hundred one".