102121211122011 has 16 divisors (see below), whose sum is σ = 159253350678400. Its totient is φ = 64497607024104.

The previous prime is 102121211122001. The next prime is 102121211122013. The reversal of 102121211122011 is 110221112121201.

It is a happy number.

102121211122011 is a `hidden beast` number, since 10 + 212 + 1 + 211 + 1 + 220 + 11 = 666.

It is not a de Polignac number, because 102121211122011 - 2¹³ = 102121211113819 is a prime.

It is a super-2 number, since 2×102121211122011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121211122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99533343661 + ... + 99533344686.

It is an arithmetic number, because the mean of its divisors is an integer number (9953334417400).

Almost surely, 2^{102121211122011} is an apocalyptic number.

102121211122011 is a deficient number, since it is larger than the sum of its proper divisors (57132139556389).

102121211122011 is a wasteful number, since it uses less digits than its factorization.

102121211122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199066688375 (or 199066688369 counting only the distinct ones).

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

Adding to 102121211122011 its reverse (110221112121201), we get a palindrome (212342323243212).

The spelling of 102121211122011 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, eleven".