211359948121 has 9 divisors (see below), whose sum is σ = 245871438399. Its totient is φ = 181162911384.

The previous prime is 211359948113. The next prime is 211359948127. The reversal of 211359948121 is 121849953112.

The square root of 211359948121 is 459739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32907774025 + 178452174096 = 181405^2 + 422436^2 .

It is not a de Polignac number, because 211359948121 - 2³ = 211359948113 is a prime.

It is a super-2 number, since 2×211359948121² (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 (211359948127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3185335 + ... + 3251011.

It is an arithmetic number, because the mean of its divisors is an integer number (27319048711).

Almost surely, 2^211359948121 is an apocalyptic number.

211359948121 is the 459739-th square number.

211359948121 is the 229870-th centered octagonal number.

It is an amenable number.

211359948121 is a deficient number, since it is larger than the sum of its proper divisors (34511490278).

211359948121 is an frugal number, since it uses more digits than its factorization.

211359948121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131368 (or 65684 counting only the distinct ones).

The product of its digits is 155520, while the sum is 46.

The spelling of 211359948121 in words is "two hundred eleven billion, three hundred fifty-nine million, nine hundred forty-eight thousand, one hundred twenty-one".