10212662164221 has 40 divisors (see below), whose sum is σ = 17518796724000. Its totient is φ = 5863729462560.

The previous prime is 10212662164217. The next prime is 10212662164291. The reversal of 10212662164221 is 12246126621201.

10212662164221 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 6 + 6 + 2 + 1 + 642 + 2 + 1 = 666.

It is not a de Polignac number, because 10212662164221 - 2² = 10212662164217 is a prime.

It is a super-2 number, since 2×10212662164221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212662164291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301615246 + ... + 301649103.

It is an arithmetic number, because the mean of its divisors is an integer number (437969918100).

Almost surely, 2^{10212662164221} is an apocalyptic number.

10212662164221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212662164221 is a deficient number, since it is larger than the sum of its proper divisors (7306134559779).

10212662164221 is a wasteful number, since it uses less digits than its factorization.

10212662164221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603264391 (or 603264382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 10212662164221 its reverse (12246126621201), we get a palindrome (22458788785422).

The spelling of 10212662164221 in words is "ten trillion, two hundred twelve billion, six hundred sixty-two million, one hundred sixty-four thousand, two hundred twenty-one".