102101242101201 has 24 divisors (see below), whose sum is σ = 171404829360960. Its totient is φ = 57354692897376.

The previous prime is 102101242101197. The next prime is 102101242101211.

102101242101201 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 242 + 10 + 1 + 201 = 666.

102101242101201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102101242101201 - 2² = 102101242101197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101242101211) 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 23 ways as a sum of consecutive naturals, for example, 13734357610 + ... + 13734365043.

It is an arithmetic number, because the mean of its divisors is an integer number (7141867890040).

Almost surely, 2^{102101242101201} is an apocalyptic number.

It is an amenable number.

102101242101201 is a deficient number, since it is larger than the sum of its proper divisors (69303587259759).

102101242101201 is a wasteful number, since it uses less digits than its factorization.

102101242101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27468722725 (or 27468722722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 102101242101201 in words is "one hundred two trillion, one hundred one billion, two hundred forty-two million, one hundred one thousand, two hundred one".