211020683955601 has 27 divisors (see below), whose sum is σ = 242737319254833. Its totient is φ = 183327397868160.

The previous prime is 211020683955551. The next prime is 211020683955607. The reversal of 211020683955601 is 106559386020112.

The square root of 211020683955601 is 14526551.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1905368883201 + 209115315072400 = 1380351^2 + 14460820^2 .

It is not a de Polignac number, because 211020683955601 - 2¹¹ = 211020683953553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211020683955607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3210334906 + ... + 3210400636.

Almost surely, 2^{211020683955601} is an apocalyptic number.

211020683955601 is the 14526551-st square number.

211020683955601 is the 7263276-th centered octagonal number.

It is an amenable number.

211020683955601 is a deficient number, since it is larger than the sum of its proper divisors (31716635299232).

211020683955601 is an frugal number, since it uses more digits than its factorization.

211020683955601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131522 (or 65761 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 211020683955601 in words is "two hundred eleven trillion, twenty billion, six hundred eighty-three million, nine hundred fifty-five thousand, six hundred one".