102111002001 has 16 divisors (see below), whose sum is σ = 151447302720. Its totient is φ = 67996716480.

The previous prime is 102111001973. The next prime is 102111002011. The reversal of 102111002001 is 100200111201.

It is a happy number.

It is not a de Polignac number, because 102111002001 - 2⁵ = 102111001969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102111002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122575 + ... + 2170148.

It is an arithmetic number, because the mean of its divisors is an integer number (9465456420).

Almost surely, 2^102111002001 is an apocalyptic number.

It is an amenable number.

102111002001 is a deficient number, since it is larger than the sum of its proper divisors (49336300719).

102111002001 is an equidigital number, since it uses as much as digits as its factorization.

102111002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293613 (or 4293607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102111002001 its reverse (100200111201), we get a palindrome (202311113202).

The spelling of 102111002001 in words is "one hundred two billion, one hundred eleven million, two thousand, one".