100221226632 has 36 divisors (see below), whose sum is σ = 271439764245. Its totient is φ = 33406180128.

The previous prime is 100221226603. The next prime is 100221226667. The reversal of 100221226632 is 236622122001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

100221226632 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 2 + 26 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100206434916 + 14791716 = 316554^2 + 3846^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223854.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100221226596 and 100221226605.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2667594 + ... + 2704902.

Almost surely, 2^100221226632 is an apocalyptic number.

100221226632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221226632 is an abundant number, since it is smaller than the sum of its proper divisors (171218537613).

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

100221226632 is an frugal number, since it uses more digits than its factorization.

100221226632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74630 (or 37314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100221226632 its reverse (236622122001), we get a palindrome (336843348633).

The spelling of 100221226632 in words is "one hundred billion, two hundred twenty-one million, two hundred twenty-six thousand, six hundred thirty-two".