102211120212111 has 28 divisors (see below), whose sum is σ = 153278621742688. Its totient is φ = 68126498038944.

The previous prime is 102211120212109. The next prime is 102211120212137. The reversal of 102211120212111 is 111212021112201.

It is a happy number.

102211120212111 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 120 + 212 + 111 = 666.

It is not a de Polignac number, because 102211120212111 - 2¹ = 102211120212109 is a prime.

It is a super-3 number, since 3×102211120212111³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211120212191) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11170030 + ... + 18143643.

Almost surely, 2^{102211120212111} is an apocalyptic number.

102211120212111 is a deficient number, since it is larger than the sum of its proper divisors (51067501530577).

102211120212111 is an frugal number, since it uses more digits than its factorization.

102211120212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29318474 (or 29318459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102211120212111 its reverse (111212021112201), we get a palindrome (213423141324312).

The spelling of 102211120212111 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, two hundred twelve thousand, one hundred eleven".