102001102000101 has 24 divisors (see below), whose sum is σ = 147401859032064. Its totient is φ = 67969846275840.

The previous prime is 102001102000093. The next prime is 102001102000111. The reversal of 102001102000101 is 101000201100201.

It is a happy number.

It is not a de Polignac number, because 102001102000101 - 2³ = 102001102000093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001102000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305530470 + ... + 305864136.

It is an arithmetic number, because the mean of its divisors is an integer number (6141744126336).

Almost surely, 2^{102001102000101} is an apocalyptic number.

It is an amenable number.

102001102000101 is a deficient number, since it is larger than the sum of its proper divisors (45400757031963).

102001102000101 is a wasteful number, since it uses less digits than its factorization.

102001102000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349001 (or 348998 counting only the distinct ones).

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

Adding to 102001102000101 its reverse (101000201100201), we get a palindrome (203001303100302).

The spelling of 102001102000101 in words is "one hundred two trillion, one billion, one hundred two million, one hundred one", and thus it is an aban number.