101222303112 has 144 divisors (see below), whose sum is σ = 321197713200. Its totient is φ = 28712456640.

The previous prime is 101222303087. The next prime is 101222303137. The reversal of 101222303112 is 211303222101.

101222303112 is a `hidden beast` number, since 1 + 0 + 122 + 230 + 311 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101222303087) and next prime (101222303137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387187 + ... + 593597.

It is an arithmetic number, because the mean of its divisors is an integer number (2230539675).

Almost surely, 2^101222303112 is an apocalyptic number.

101222303112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160598856600).

101222303112 is an abundant number, since it is smaller than the sum of its proper divisors (219975410088).

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

101222303112 is a wasteful number, since it uses less digits than its factorization.

101222303112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206576 (or 206562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101222303112 its reverse (211303222101), we get a palindrome (312525525213).

The spelling of 101222303112 in words is "one hundred one billion, two hundred twenty-two million, three hundred three thousand, one hundred twelve".