100132221213031 has 32 divisors (see below), whose sum is σ = 120923562101760. Its totient is φ = 80997375154176.

The previous prime is 100132221213007. The next prime is 100132221213067. The reversal of 100132221213031 is 130312122231001.

It is a cyclic number.

It is not a de Polignac number, because 100132221213031 - 2²¹ = 100132219115879 is a prime.

It is a super-2 number, since 2×100132221213031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100132221212993 and 100132221213011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132221213071) 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, 915590605 + ... + 915699961.

It is an arithmetic number, because the mean of its divisors is an integer number (3778861315680).

Almost surely, 2^{100132221213031} is an apocalyptic number.

100132221213031 is a deficient number, since it is larger than the sum of its proper divisors (20791340888729).

100132221213031 is a wasteful number, since it uses less digits than its factorization.

100132221213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135823.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100132221213031 its reverse (130312122231001), we get a palindrome (230444343444032).

The spelling of 100132221213031 in words is "one hundred trillion, one hundred thirty-two billion, two hundred twenty-one million, two hundred thirteen thousand, thirty-one".