32126332640100 has 72 divisors (see below), whose sum is σ = 92977052525280. Its totient is φ = 8564730478080.

The previous prime is 32126332640093. The next prime is 32126332640123. The reversal of 32126332640100 is 104623362123.

It is a happy number.

It is a super-2 number, since 2×32126332640100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13198677 + ... + 15442076.

It is an arithmetic number, because the mean of its divisors is an integer number (1291347951740).

Almost surely, 2^{32126332640100} is an apocalyptic number.

32126332640100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32126332640100 is an abundant number, since it is smaller than the sum of its proper divisors (60850719885180).

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

32126332640100 is a wasteful number, since it uses less digits than its factorization.

32126332640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644509 (or 28644502 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 32126332640100 in words is "thirty-two trillion, one hundred twenty-six billion, three hundred thirty-two million, six hundred forty thousand, one hundred".