211202011212001 has 8 divisors (see below), whose sum is σ = 225839774367144. Its totient is φ = 196810260883200.

The previous prime is 211202011211977. The next prime is 211202011212043. The reversal of 211202011212001 is 100212110202112.

It can be written as a sum of positive squares in 4 ways, for example, as 73590319110400 + 137611692101601 = 8578480^2 + 11730801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211202011212001 - 2²⁵ = 211201977657569 is a prime.

It is a super-2 number, since 2×211202011212001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211202011212061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61503204810 + ... + 61503208243.

It is an arithmetic number, because the mean of its divisors is an integer number (28229971795893).

Almost surely, 2^{211202011212001} is an apocalyptic number.

It is an amenable number.

211202011212001 is a deficient number, since it is larger than the sum of its proper divisors (14637763155143).

211202011212001 is a wasteful number, since it uses less digits than its factorization.

211202011212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123006413171.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211202011212001 its reverse (100212110202112), we get a palindrome (311414121414113).

The spelling of 211202011212001 in words is "two hundred eleven trillion, two hundred two billion, eleven million, two hundred twelve thousand, one".