101202112112011 has 16 divisors (see below), whose sum is σ = 108136772764416. Its totient is φ = 94481944847136.

The previous prime is 101202112111999. The next prime is 101202112112041. The reversal of 101202112112011 is 110211211202101.

It is a cyclic number.

It is not a de Polignac number, because 101202112112011 - 2⁴¹ = 99003088856459 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202112112041) 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, 35906385 + ... + 38622178.

It is an arithmetic number, because the mean of its divisors is an integer number (6758548297776).

Almost surely, 2^{101202112112011} is an apocalyptic number.

101202112112011 is a deficient number, since it is larger than the sum of its proper divisors (6934660652405).

101202112112011 is a wasteful number, since it uses less digits than its factorization.

101202112112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74530002.

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

Adding to 101202112112011 its reverse (110211211202101), we get a palindrome (211413323314112).

It can be divided in two parts, 10 and 1202112112011, that added together give a palindrome (1202112112021).

The spelling of 101202112112011 in words is "one hundred one trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, eleven".