10201104102 has 96 divisors (see below), whose sum is σ = 23969986560. Its totient is φ = 2885695680.

The previous prime is 10201104101. The next prime is 10201104113. The reversal of 10201104102 is 20140110201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201104101) 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, 21843673 + ... + 21844139.

It is an arithmetic number, because the mean of its divisors is an integer number (249687360).

Almost surely, 2^10201104102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201104102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984993280).

10201104102 is an abundant number, since it is smaller than the sum of its proper divisors (13768882458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201104102 is a wasteful number, since it uses less digits than its factorization.

10201104102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

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

Adding to 10201104102 its reverse (20140110201), we get a palindrome (30341214303).

The spelling of 10201104102 in words is "ten billion, two hundred one million, one hundred four thousand, one hundred two".