102102014001 has 48 divisors (see below), whose sum is σ = 149427645696. Its totient is φ = 61976011968.

The previous prime is 102102013999. The next prime is 102102014017. The reversal of 102102014001 is 100410201201.

It is a happy number.

It is not a de Polignac number, because 102102014001 - 2¹ = 102102013999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102014081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33116206 + ... + 33119288.

It is an arithmetic number, because the mean of its divisors is an integer number (3113075952).

Almost surely, 2^102102014001 is an apocalyptic number.

It is an amenable number.

102102014001 is a deficient number, since it is larger than the sum of its proper divisors (47325631695).

102102014001 is a wasteful number, since it uses less digits than its factorization.

102102014001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102014001 its reverse (100410201201), we get a palindrome (202512215202).

The spelling of 102102014001 in words is "one hundred two billion, one hundred two million, fourteen thousand, one".