101122201212 has 96 divisors (see below), whose sum is σ = 254277273600. Its totient is φ = 31200947712.

The previous prime is 101122201163. The next prime is 101122201217. The reversal of 101122201212 is 212102221101.

It is a junction number, because it is equal to n+sod(n) for n = 101122201191 and 101122201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122201217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110714 + ... + 1198302.

It is an arithmetic number, because the mean of its divisors is an integer number (2648721600).

Almost surely, 2^101122201212 is an apocalyptic number.

101122201212 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 101122201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127138636800).

101122201212 is an abundant number, since it is smaller than the sum of its proper divisors (153155072388).

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

101122201212 is a wasteful number, since it uses less digits than its factorization.

101122201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87755 (or 87753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122201212 its reverse (212102221101), we get a palindrome (313224422313).

The spelling of 101122201212 in words is "one hundred one billion, one hundred twenty-two million, two hundred one thousand, two hundred twelve".