101011102002 has 20 divisors (see below), whose sum is σ = 226339691886. Its totient is φ = 33670367280.

The previous prime is 101011101949. The next prime is 101011102013. The reversal of 101011102002 is 200201110101.

It is a happy number.

101011102002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 97694378721 + 3316723281 = 312561^2 + 57591^2 .

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 9 ways as a sum of consecutive naturals, for example, 311762499 + ... + 311762822.

Almost surely, 2^101011102002 is an apocalyptic number.

101011102002 is an abundant number, since it is smaller than the sum of its proper divisors (125328589884).

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

101011102002 is an equidigital number, since it uses as much as digits as its factorization.

101011102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623525335 (or 623525326 counting only the distinct ones).

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

Adding to 101011102002 its reverse (200201110101), we get a palindrome (301212212103).

The spelling of 101011102002 in words is "one hundred one billion, eleven million, one hundred two thousand, two".