102101102102201 has 8 divisors (see below), whose sum is σ = 103070667182208. Its totient is φ = 101134418346000.

The previous prime is 102101102102173. The next prime is 102101102102203. The reversal of 102101102102201 is 102201201101201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102101102102201 - 2²⁶ = 102101034993337 is a prime.

It is a super-2 number, since 2×102101102102201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102101102102203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720259745 + ... + 720401486.

It is an arithmetic number, because the mean of its divisors is an integer number (12883833397776).

Almost surely, 2^{102101102102201} is an apocalyptic number.

It is an amenable number.

102101102102201 is a deficient number, since it is larger than the sum of its proper divisors (969565080007).

102101102102201 is a wasteful number, since it uses less digits than its factorization.

102101102102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440661903.

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

Adding to 102101102102201 its reverse (102201201101201), we get a palindrome (204302303203402).

The spelling of 102101102102201 in words is "one hundred two trillion, one hundred one billion, one hundred two million, one hundred two thousand, two hundred one".