212201264401 has 12 divisors (see below), whose sum is σ = 246854120052. Its totient is φ = 181881086688.

The previous prime is 212201264383. The next prime is 212201264489. The reversal of 212201264401 is 104462102212.

It can be written as a sum of positive squares in 2 ways, for example, as 19537330176 + 192663934225 = 139776^2 + 438935^2 .

It is not a de Polignac number, because 212201264401 - 2¹¹ = 212201262353 is a prime.

It is a super-2 number, since 2×212201264401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212201264701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2451211 + ... + 2536303.

It is an arithmetic number, because the mean of its divisors is an integer number (20571176671).

Almost surely, 2^212201264401 is an apocalyptic number.

It is an amenable number.

212201264401 is a deficient number, since it is larger than the sum of its proper divisors (34652855651).

212201264401 is an equidigital number, since it uses as much as digits as its factorization.

212201264401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136000 (or 135993 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 212201264401 its reverse (104462102212), we get a palindrome (316663366613).

The spelling of 212201264401 in words is "two hundred twelve billion, two hundred one million, two hundred sixty-four thousand, four hundred one".