102100122211011 has 16 divisors (see below), whose sum is σ = 137761317158400. Its totient is φ = 67255781322240.

The previous prime is 102100122211001. The next prime is 102100122211027. The reversal of 102100122211011 is 110112221001201.

It is a happy number.

It is not a de Polignac number, because 102100122211011 - 2²² = 102100118016707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100122211001) 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, 367813495 + ... + 368090976.

It is an arithmetic number, because the mean of its divisors is an integer number (8610082322400).

Almost surely, 2^{102100122211011} is an apocalyptic number.

102100122211011 is a deficient number, since it is larger than the sum of its proper divisors (35661194947389).

102100122211011 is a wasteful number, since it uses less digits than its factorization.

102100122211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735905026.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102100122211011 its reverse (110112221001201), we get a palindrome (212212343212212).

The spelling of 102100122211011 in words is "one hundred two trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, eleven".