101131232202 has 432 divisors, whose sum is σ = 309422179872. Its totient is φ = 23577765120.

The previous prime is 101131232183. The next prime is 101131232207. The reversal of 101131232202 is 202232131101.

101131232202 is a `hidden beast` number, since 101 + 131 + 232 + 202 = 666.

It is a super-2 number, since 2×101131232202² (a number of 23 digits) contains 22 as substring.

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 (101131232207) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 60665773 + ... + 60667439.

It is an arithmetic number, because the mean of its divisors is an integer number (716255046).

Almost surely, 2^101131232202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101131232202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154711089936).

101131232202 is an abundant number, since it is smaller than the sum of its proper divisors (208290947670).

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

101131232202 is a wasteful number, since it uses less digits than its factorization.

101131232202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1740 counting only the distinct ones).

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

Adding to 101131232202 its reverse (202232131101), we get a palindrome (303363363303).

It can be divided in two parts, 101131 and 232202, that added together give a palindrome (333333).

The spelling of 101131232202 in words is "one hundred one billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred two".