212001020000001 has 12 divisors (see below), whose sum is σ = 306480379305828. Its totient is φ = 141215543910144.

The previous prime is 212001019999973. The next prime is 212001020000009. The reversal of 212001020000001 is 100000020100212.

It can be written as a sum of positive squares in 2 ways, for example, as 111940610879601 + 100060409120400 = 10580199^2 + 10003020^2 .

It is not a de Polignac number, because 212001020000001 - 2¹¹ = 212001019997953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (212001020000009) 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, 9872440600 + ... + 9872462073.

It is an arithmetic number, because the mean of its divisors is an integer number (25540031608819).

Almost surely, 2^{212001020000001} is an apocalyptic number.

It is an amenable number.

212001020000001 is a deficient number, since it is larger than the sum of its proper divisors (94479359305827).

212001020000001 is a wasteful number, since it uses less digits than its factorization.

212001020000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19744903872 (or 19744903869 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212001020000001 its reverse (100000020100212), we get a palindrome (312001040100213).

The spelling of 212001020000001 in words is "two hundred twelve trillion, one billion, twenty million, one", and thus it is an aban number.