100132133322221 has 48 divisors (see below), whose sum is σ = 135544267013760. Its totient is φ = 71830017941760.

The previous prime is 100132133322103. The next prime is 100132133322239. The reversal of 100132133322221 is 122223331231001.

It is not a de Polignac number, because 100132133322221 - 2¹⁸ = 100132133060077 is a prime.

It is a super-2 number, since 2×100132133322221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132133322281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5460866 + ... + 15168563.

It is an arithmetic number, because the mean of its divisors is an integer number (2823838896120).

Almost surely, 2^{100132133322221} is an apocalyptic number.

100132133322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100132133322221 is a deficient number, since it is larger than the sum of its proper divisors (35412133691539).

100132133322221 is a wasteful number, since it uses less digits than its factorization.

100132133322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20629846 (or 20629833 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 100132133322221 its reverse (122223331231001), we get a palindrome (222355464553222).

The spelling of 100132133322221 in words is "one hundred trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred twenty-one".