102111000010001 has 16 divisors (see below), whose sum is σ = 112954381545600. Its totient is φ = 91815127227648.

The previous prime is 102111000009943. The next prime is 102111000010009. The reversal of 102111000010001 is 100010000111201.

It is a happy number.

It is not a de Polignac number, because 102111000010001 - 2³⁴ = 102093820140817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102111000010009) 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 15 ways as a sum of consecutive naturals, for example, 157186991 + ... + 157835268.

It is an arithmetic number, because the mean of its divisors is an integer number (7059648846600).

Almost surely, 2^{102111000010001} is an apocalyptic number.

It is an amenable number.

102111000010001 is a deficient number, since it is larger than the sum of its proper divisors (10843381535599).

102111000010001 is a wasteful number, since it uses less digits than its factorization.

102111000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315023128.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102111000010001 its reverse (100010000111201), we get a palindrome (202121000121202).

The spelling of 102111000010001 in words is "one hundred two trillion, one hundred eleven billion, ten thousand, one".