102001210111101 has 32 divisors (see below), whose sum is σ = 158709669573888. Its totient is φ = 57068341585920.

The previous prime is 102001210111069. The next prime is 102001210111111. The reversal of 102001210111101 is 101111012100201.

It is not a de Polignac number, because 102001210111101 - 2⁵ = 102001210111069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001210111111) 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 31 ways as a sum of consecutive naturals, for example, 242625720 + ... + 243045761.

It is an arithmetic number, because the mean of its divisors is an integer number (4959677174184).

Almost surely, 2^{102001210111101} is an apocalyptic number.

It is an amenable number.

102001210111101 is a deficient number, since it is larger than the sum of its proper divisors (56708459462787).

102001210111101 is a wasteful number, since it uses less digits than its factorization.

102001210111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485671701.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102001210111101 its reverse (101111012100201), we get a palindrome (203112222211302).

The spelling of 102001210111101 in words is "one hundred two trillion, one billion, two hundred ten million, one hundred eleven thousand, one hundred one".