102110202011201 has 32 divisors (see below), whose sum is σ = 109039271040000. Its totient is φ = 95405041059328.

The previous prime is 102110202011197. The next prime is 102110202011203.

102110202011201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102110202011201 - 2² = 102110202011197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102110202011203) 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, 1354406615 + ... + 1354482003.

It is an arithmetic number, because the mean of its divisors is an integer number (3407477220000).

Almost surely, 2^{102110202011201} is an apocalyptic number.

It is an amenable number.

102110202011201 is a deficient number, since it is larger than the sum of its proper divisors (6929069028799).

102110202011201 is a wasteful number, since it uses less digits than its factorization.

102110202011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80353.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10211020 and 2011201, that added together give a palindrome (12222221).

The spelling of 102110202011201 in words is "one hundred two trillion, one hundred ten billion, two hundred two million, eleven thousand, two hundred one".