102120101011 has 16 divisors (see below), whose sum is σ = 105097281408. Its totient is φ = 99166809600.

The previous prime is 102120100987. The next prime is 102120101051. The reversal of 102120101011 is 110101021201.

It is a cyclic number.

It is not a de Polignac number, because 102120101011 - 2¹⁹ = 102119576723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102120101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13473855 + ... + 13481431.

It is an arithmetic number, because the mean of its divisors is an integer number (6568580088).

Almost surely, 2^102120101011 is an apocalyptic number.

102120101011 is a deficient number, since it is larger than the sum of its proper divisors (2977180397).

102120101011 is a wasteful number, since it uses less digits than its factorization.

102120101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102.

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

Adding to 102120101011 its reverse (110101021201), we get a palindrome (212221122212).

The spelling of 102120101011 in words is "one hundred two billion, one hundred twenty million, one hundred one thousand, eleven".