2151732284100 has 720 divisors, whose sum is σ = 8522755008768. Its totient is φ = 458378403840.

The previous prime is 2151732284069. The next prime is 2151732284171. The reversal of 2151732284100 is 14822371512.

2151732284100 is a `hidden beast` number, since 2 + 1 + 5 + 17 + 3 + 228 + 410 + 0 = 666.

It is a super-2 number, since 2×2151732284100² (a number of 25 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 99270864 + ... + 99292536.

Almost surely, 2^{2151732284100} is an apocalyptic number.

2151732284100 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 2151732284100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261377504384).

2151732284100 is an abundant number, since it is smaller than the sum of its proper divisors (6371022724668).

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

2151732284100 is a wasteful number, since it uses less digits than its factorization.

2151732284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21810 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2151732284100 in words is "two trillion, one hundred fifty-one billion, seven hundred thirty-two million, two hundred eighty-four thousand, one hundred".