211657101161 has 12 divisors (see below), whose sum is σ = 238322232372. Its totient is φ = 187722480000.

The previous prime is 211657101109. The next prime is 211657101197. The reversal of 211657101161 is 161101756112.

It can be written as a sum of positive squares in 2 ways, for example, as 48496848400 + 163160252761 = 220220^2 + 403931^2 .

It is not a de Polignac number, because 211657101161 - 2²⁶ = 211589992297 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211657101961) 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, 21327140 + ... + 21337061.

It is an arithmetic number, because the mean of its divisors is an integer number (19860186031).

Almost surely, 2^211657101161 is an apocalyptic number.

It is an amenable number.

211657101161 is a deficient number, since it is larger than the sum of its proper divisors (26665131211).

211657101161 is a wasteful number, since it uses less digits than its factorization.

211657101161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42664264 (or 42664253 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 32.

Adding to 211657101161 its reverse (161101756112), we get a palindrome (372758857273).

The spelling of 211657101161 in words is "two hundred eleven billion, six hundred fifty-seven million, one hundred one thousand, one hundred sixty-one".