211013013201101 has 2 divisors, whose sum is σ = 211013013201102. Its totient is φ = 211013013201100.

The previous prime is 211013013201097. The next prime is 211013013201139. The reversal of 211013013201101 is 101102310310112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198225308721001 + 12787704480100 = 14079251^2 + 3575990^2 .

It is a cyclic number.

It is not a de Polignac number, because 211013013201101 - 2² = 211013013201097 is a prime.

It is a super-2 number, since 2×211013013201101² (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 211013013201101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211013013201701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105506506600550 + 105506506600551.

It is an arithmetic number, because the mean of its divisors is an integer number (105506506600551).

Almost surely, 2^{211013013201101} is an apocalyptic number.

It is an amenable number.

211013013201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211013013201101 is an equidigital number, since it uses as much as digits as its factorization.

211013013201101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 211013013201101 its reverse (101102310310112), we get a palindrome (312115323511213).

The spelling of 211013013201101 in words is "two hundred eleven trillion, thirteen billion, thirteen million, two hundred one thousand, one hundred one".