2271364532100 has 288 divisors, whose sum is σ = 7559078688000. Its totient is φ = 584403240960.

The previous prime is 2271364532093. The next prime is 2271364532123. The reversal of 2271364532100 is 12354631722.

2271364532100 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 3 + 645 + 3 + 2 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121590561 + ... + 121609239.

It is an arithmetic number, because the mean of its divisors is an integer number (26246801000).

Almost surely, 2^{2271364532100} is an apocalyptic number.

2271364532100 is a gapful number since it is divisible by the number (20) 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 2271364532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779539344000).

2271364532100 is an abundant number, since it is smaller than the sum of its proper divisors (5287714155900).

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

2271364532100 is a wasteful number, since it uses less digits than its factorization.

2271364532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20284 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2271364532100 in words is "two trillion, two hundred seventy-one billion, three hundred sixty-four million, five hundred thirty-two thousand, one hundred".