100000001332 has 144 divisors (see below), whose sum is σ = 229453217280. Its totient is φ = 37280517120.

The previous prime is 100000001317. The next prime is 100000001347. The reversal of 100000001332 is 233100000001.

It is an interprime number because it is at equal distance from previous prime (100000001317) and next prime (100000001347).

100000001332 is a modest number, since divided by 1332 gives 100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11097973 + ... + 11106979.

It is an arithmetic number, because the mean of its divisors is an integer number (1593425120).

Almost surely, 2^100000001332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114726608640).

100000001332 is an abundant number, since it is smaller than the sum of its proper divisors (129453215948).

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

100000001332 is a wasteful number, since it uses less digits than its factorization.

100000001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100000001332 its reverse (233100000001), we get a palindrome (333100001333).

The spelling of 100000001332 in words is "one hundred billion, one thousand, three hundred thirty-two".