212134120401 has 64 divisors (see below), whose sum is σ = 338984755200. Its totient is φ = 115443449856.

The previous prime is 212134120399. The next prime is 212134120439. The reversal of 212134120401 is 104021431212.

212134120401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212134120401 - 2¹ = 212134120399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212134122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16114260 + ... + 16127418.

It is an arithmetic number, because the mean of its divisors is an integer number (5296636800).

Almost surely, 2^212134120401 is an apocalyptic number.

212134120401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212134120401 is a deficient number, since it is larger than the sum of its proper divisors (126850634799).

212134120401 is a wasteful number, since it uses less digits than its factorization.

212134120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13558.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212134120401 its reverse (104021431212), we get a palindrome (316155551613).

The spelling of 212134120401 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred twenty thousand, four hundred one".