101322200010132 has 36 divisors (see below), whose sum is σ = 256189736382580. Its totient is φ = 33764871399552.

The previous prime is 101322200010131. The next prime is 101322200010169. The reversal of 101322200010132 is 231010002223101.

101322200010132 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 200 + 0 + 10 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16275366707076 + 85046833303056 = 4034274^2 + 9222084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322200010131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383002207 + ... + 383266662.

Almost surely, 2^{101322200010132} is an apocalyptic number.

101322200010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101322200010132 is an abundant number, since it is smaller than the sum of its proper divisors (154867536372448).

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

101322200010132 is a wasteful number, since it uses less digits than its factorization.

101322200010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766272552 (or 766272547 counting only the distinct ones).

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

Adding to 101322200010132 its reverse (231010002223101), we get a palindrome (332332202233233).

The spelling of 101322200010132 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred million, ten thousand, one hundred thirty-two".