211110000020101 has 36 divisors (see below), whose sum is σ = 267111896243556. Its totient is φ = 165378299788800.

The previous prime is 211110000020071. The next prime is 211110000020111. The reversal of 211110000020101 is 101020000011112.

It can be written as a sum of positive squares in 6 ways, for example, as 78091261129476 + 133018738890625 = 8836926^2 + 11533375^2 .

It is not a de Polignac number, because 211110000020101 - 2¹⁷ = 211109999889029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110000020111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9746100 + ... + 22742173.

Almost surely, 2^{211110000020101} is an apocalyptic number.

It is an amenable number.

211110000020101 is a deficient number, since it is larger than the sum of its proper divisors (56001896223455).

211110000020101 is a wasteful number, since it uses less digits than its factorization.

211110000020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32488502 (or 32488394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211110000020101 its reverse (101020000011112), we get a palindrome (312130000031213).

The spelling of 211110000020101 in words is "two hundred eleven trillion, one hundred ten billion, twenty thousand, one hundred one".