101122331202 has 160 divisors (see below), whose sum is σ = 252766483200. Its totient is φ = 30079123200.

The previous prime is 101122331201. The next prime is 101122331213. The reversal of 101122331202 is 202133221101.

101122331202 is a `hidden beast` number, since 10 + 1 + 122 + 331 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101122331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3645927 + ... + 3673557.

It is an arithmetic number, because the mean of its divisors is an integer number (1579790520).

Almost surely, 2^101122331202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122331202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126383241600).

101122331202 is an abundant number, since it is smaller than the sum of its proper divisors (151644151998).

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

101122331202 is a wasteful number, since it uses less digits than its factorization.

101122331202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27734 (or 27725 counting only the distinct ones).

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

Adding to 101122331202 its reverse (202133221101), we get a palindrome (303255552303).

The spelling of 101122331202 in words is "one hundred one billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred two".