21375175501100 has 72 divisors (see below), whose sum is σ = 48826342362000. Its totient is φ = 8099910316800.

The previous prime is 21375175501027. The next prime is 21375175501139. The reversal of 21375175501100 is 110557157312.

It is a happy number.

It is a super-2 number, since 2×21375175501100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 162918326 + ... + 163049474.

Almost surely, 2^{21375175501100} is an apocalyptic number.

21375175501100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21375175501100 is an abundant number, since it is smaller than the sum of its proper divisors (27451166860900).

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

21375175501100 is a wasteful number, since it uses less digits than its factorization.

21375175501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216963 (or 216956 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 38.

The spelling of 21375175501100 in words is "twenty-one trillion, three hundred seventy-five billion, one hundred seventy-five million, five hundred one thousand, one hundred".