101112120101 has 8 divisors (see below), whose sum is σ = 101558320344. Its totient is φ = 100666024960.

The previous prime is 101112120049. The next prime is 101112120119. The reversal of 101112120101 is 101021211101.

It can be written as a sum of positive squares in 4 ways, for example, as 13537555201 + 87574564900 = 116351^2 + 295930^2 .

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 101112120101 - 2³⁴ = 83932250917 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 (101112120181) 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, 2387531 + ... + 2429511.

It is an arithmetic number, because the mean of its divisors is an integer number (12694790043).

Almost surely, 2^101112120101 is an apocalyptic number.

It is an amenable number.

101112120101 is a deficient number, since it is larger than the sum of its proper divisors (446200243).

101112120101 is a wasteful number, since it uses less digits than its factorization.

101112120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52551.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112120101 its reverse (101021211101), we get a palindrome (202133331202).

The spelling of 101112120101 in words is "one hundred one billion, one hundred twelve million, one hundred twenty thousand, one hundred one".