211101101102053 has 2 divisors, whose sum is σ = 211101101102054. Its totient is φ = 211101101102052.

The previous prime is 211101101101973. The next prime is 211101101102057. The reversal of 211101101102053 is 350201101101112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187058769825249 + 24042331276804 = 13676943^2 + 4903298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211101101102053 is a prime.

It is a super-2 number, since 2×211101101102053² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211101101102053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211101101102057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550550551026 + 105550550551027.

It is an arithmetic number, because the mean of its divisors is an integer number (105550550551027).

Almost surely, 2^{211101101102053} is an apocalyptic number.

It is an amenable number.

211101101102053 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101101102053 is an equidigital number, since it uses as much as digits as its factorization.

211101101102053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 211101101102053 its reverse (350201101101112), we get a palindrome (561302202203165).

The spelling of 211101101102053 in words is "two hundred eleven trillion, one hundred one billion, one hundred one million, one hundred two thousand, fifty-three".