21351170076201 has 96 divisors (see below), whose sum is σ = 38318663126016. Its totient is φ = 11176906752000.

The previous prime is 21351170076151. The next prime is 21351170076317. The reversal of 21351170076201 is 10267007115312.

21351170076201 is a `hidden beast` number, since 2 + 1 + 3 + 511 + 70 + 0 + 76 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 21351170076201 - 2¹¹ = 21351170074153 is a prime.

It is a super-2 number, since 2×21351170076201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21351170076601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18361561 + ... + 19489721.

It is an arithmetic number, because the mean of its divisors is an integer number (399152740896).

Almost surely, 2^{21351170076201} is an apocalyptic number.

21351170076201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21351170076201 is a deficient number, since it is larger than the sum of its proper divisors (16967493049815).

21351170076201 is a wasteful number, since it uses less digits than its factorization.

21351170076201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128663 (or 1128660 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 21351170076201 in words is "twenty-one trillion, three hundred fifty-one billion, one hundred seventy million, seventy-six thousand, two hundred one".