102211120011011 has 64 divisors (see below), whose sum is σ = 118200112496640. Its totient is φ = 88269869001600.

The previous prime is 102211120010999. The next prime is 102211120011019. The reversal of 102211120011011 is 110110021112201.

It is a de Polignac number, because none of the positive numbers 2^k-102211120011011 is a prime.

It is a super-3 number, since 3×102211120011011³ (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 not an unprimeable number, because it can be changed into a prime (102211120011019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563823461 + ... + 564004713.

It is an arithmetic number, because the mean of its divisors is an integer number (1846876757760).

Almost surely, 2^{102211120011011} is an apocalyptic number.

102211120011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102211120011011 is a deficient number, since it is larger than the sum of its proper divisors (15988992485629).

102211120011011 is a wasteful number, since it uses less digits than its factorization.

102211120011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181569 (or 181547 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102211120011011 its reverse (110110021112201), we get a palindrome (212321141123212).

The spelling of 102211120011011 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, eleven thousand, eleven".