211095221401 has 9 divisors (see below), whose sum is σ = 218139124959. Its totient is φ = 204271914600.

The previous prime is 211095221357. The next prime is 211095221411. The reversal of 211095221401 is 104122590112.

The square root of 211095221401 is 459451.

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., 92690411401 + 118404810000 = 304451^2 + 344100^2 .

It is not a de Polignac number, because 211095221401 - 2⁷ = 211095221273 is a prime.

It is a super-2 number, since 2×211095221401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211095221401.

It is not an unprimeable number, because it can be changed into a prime (211095221411) 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, 14235571 + ... + 14250391.

It is an arithmetic number, because the mean of its divisors is an integer number (24237680551).

Almost surely, 2^211095221401 is an apocalyptic number.

211095221401 is the 459451-st square number.

211095221401 is the 229726-th centered octagonal number.

It is an amenable number.

211095221401 is a deficient number, since it is larger than the sum of its proper divisors (7043903558).

211095221401 is an frugal number, since it uses more digits than its factorization.

211095221401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29704 (or 14852 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 211095221401 in words is "two hundred eleven billion, ninety-five million, two hundred twenty-one thousand, four hundred one".