101112202012101 has 16 divisors (see below), whose sum is σ = 154254271463424. Its totient is φ = 57711450500784.

The previous prime is 101112202012049. The next prime is 101112202012123. The reversal of 101112202012101 is 101210202211101.

It is a happy number.

It is not a de Polignac number, because 101112202012101 - 2⁷ = 101112202011973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112202062101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2789591821 + ... + 2789628066.

It is an arithmetic number, because the mean of its divisors is an integer number (9640891966464).

Almost surely, 2^{101112202012101} is an apocalyptic number.

It is an amenable number.

101112202012101 is a deficient number, since it is larger than the sum of its proper divisors (53142069451323).

101112202012101 is an equidigital number, since it uses as much as digits as its factorization.

101112202012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579220760.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112202012101 its reverse (101210202211101), we get a palindrome (202322404223202).

The spelling of 101112202012101 in words is "one hundred one trillion, one hundred twelve billion, two hundred two million, twelve thousand, one hundred one".