100132221332220 has 384 divisors, whose sum is σ = 350624990822400. Its totient is φ = 20742888883200.

The previous prime is 100132221332201. The next prime is 100132221332239. The reversal of 100132221332220 is 22233122231001.

It is an interprime number because it is at equal distance from previous prime (100132221332201) and next prime (100132221332239).

It is a super-2 number, since 2×100132221332220² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8357578630 + ... + 8357590610.

It is an arithmetic number, because the mean of its divisors is an integer number (913085913600).

Almost surely, 2^{100132221332220} is an apocalyptic number.

100132221332220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132221332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175312495411200).

100132221332220 is an abundant number, since it is smaller than the sum of its proper divisors (250492769490180).

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

100132221332220 is a wasteful number, since it uses less digits than its factorization.

100132221332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17409 (or 17407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100132221332220 its reverse (22233122231001), we get a palindrome (122365343563221).

The spelling of 100132221332220 in words is "one hundred trillion, one hundred thirty-two billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred twenty".