102101002112201 has 16 divisors (see below), whose sum is σ = 107876260387584. Its totient is φ = 96520864175424.

The previous prime is 102101002112117. The next prime is 102101002112231. The reversal of 102101002112201 is 102211200101201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101002112201 is a prime.

It is a super-2 number, since 2×102101002112201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101002112231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252544541 + ... + 252948506.

It is an arithmetic number, because the mean of its divisors is an integer number (6742266274224).

Almost surely, 2^{102101002112201} is an apocalyptic number.

It is an amenable number.

102101002112201 is a deficient number, since it is larger than the sum of its proper divisors (5775258275383).

102101002112201 is a wasteful number, since it uses less digits than its factorization.

102101002112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505493240.

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

Adding to 102101002112201 its reverse (102211200101201), we get a palindrome (204312202213402).

The spelling of 102101002112201 in words is "one hundred two trillion, one hundred one billion, two million, one hundred twelve thousand, two hundred one".