212100001020201 has 128 divisors (see below), whose sum is σ = 332437067661312. Its totient is φ = 117796331520000.

The previous prime is 212100001020197. The next prime is 212100001020203. The reversal of 212100001020201 is 102020100001212.

212100001020201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212100001020201 - 2² = 212100001020197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212100001020203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36970539405 + ... + 36970545141.

It is an arithmetic number, because the mean of its divisors is an integer number (2597164591104).

Almost surely, 2^{212100001020201} is an apocalyptic number.

212100001020201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212100001020201 is a deficient number, since it is larger than the sum of its proper divisors (120337066641111).

212100001020201 is a wasteful number, since it uses less digits than its factorization.

212100001020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100001020201 its reverse (102020100001212), we get a palindrome (314120101021413).

The spelling of 212100001020201 in words is "two hundred twelve trillion, one hundred billion, one million, twenty thousand, two hundred one".