102001111001 has 16 divisors (see below), whose sum is σ = 108414820800. Its totient is φ = 95633975808.

The previous prime is 102001110979. The next prime is 102001111007. The reversal of 102001111001 is 100111100201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102001111001 - 2¹⁸ = 102000848857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102001111001.

It is not an unprimeable number, because it can be changed into a prime (102001111007) 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, 5680205 + ... + 5698133.

It is an arithmetic number, because the mean of its divisors is an integer number (6775926300).

Almost surely, 2^102001111001 is an apocalyptic number.

It is an amenable number.

102001111001 is a deficient number, since it is larger than the sum of its proper divisors (6413709799).

102001111001 is a wasteful number, since it uses less digits than its factorization.

102001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19208.

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

Adding to 102001111001 its reverse (100111100201), we get a palindrome (202112211202).

The spelling of 102001111001 in words is "one hundred two billion, one million, one hundred eleven thousand, one".