10102001101002 has 64 divisors (see below), whose sum is σ = 23429675704320. Its totient is φ = 3220275366000.

The previous prime is 10102001100941. The next prime is 10102001101069. The reversal of 10102001101002 is 20010110020101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5327727 + ... + 6970557.

It is an arithmetic number, because the mean of its divisors is an integer number (366088682880).

Almost surely, 2^{10102001101002} is an apocalyptic number.

10102001101002 is an abundant number, since it is smaller than the sum of its proper divisors (13327674603318).

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

10102001101002 is a wasteful number, since it uses less digits than its factorization.

10102001101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647816 (or 1647810 counting only the distinct ones).

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

Adding to 10102001101002 its reverse (20010110020101), we get a palindrome (30112111121103).

The spelling of 10102001101002 in words is "ten trillion, one hundred two billion, one million, one hundred one thousand, two".