101211002201112 has 32 divisors (see below), whose sum is σ = 253088816025600. Its totient is φ = 33728825997344.

The previous prime is 101211002201063. The next prime is 101211002201171. The reversal of 101211002201112 is 211102200112101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101211002201091 and 101211002201100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510819912 + ... + 511018007.

It is an arithmetic number, because the mean of its divisors is an integer number (7909025500800).

Almost surely, 2^{101211002201112} is an apocalyptic number.

101211002201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211002201112 is an abundant number, since it is smaller than the sum of its proper divisors (151877813824488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211002201112 is a wasteful number, since it uses less digits than its factorization.

101211002201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021842055 (or 1021842051 counting only the distinct ones).

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

Adding to 101211002201112 its reverse (211102200112101), we get a palindrome (312313202313213).

The spelling of 101211002201112 in words is "one hundred one trillion, two hundred eleven billion, two million, two hundred one thousand, one hundred twelve".