102111200202001 has 16 divisors (see below), whose sum is σ = 112893775920000. Its totient is φ = 91864870037248.

The previous prime is 102111200201963. The next prime is 102111200202091. The reversal of 102111200202001 is 100202002111201.

It is not a de Polignac number, because 102111200202001 - 2⁷ = 102111200201873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102111200202091) 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, 86523286 + ... + 87695503.

It is an arithmetic number, because the mean of its divisors is an integer number (7055860995000).

Almost surely, 2^{102111200202001} is an apocalyptic number.

It is an amenable number.

102111200202001 is a deficient number, since it is larger than the sum of its proper divisors (10782575717999).

102111200202001 is a wasteful number, since it uses less digits than its factorization.

102111200202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174220328.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102111200202001 its reverse (100202002111201), we get a palindrome (202313202313202).

It can be divided in two parts, 102111200 and 202001, that added together give a palindrome (102313201).

The spelling of 102111200202001 in words is "one hundred two trillion, one hundred eleven billion, two hundred million, two hundred two thousand, one".