10010102102001 has 12 divisors (see below), whose sum is σ = 14461242930628. Its totient is φ = 6672382988544.

The previous prime is 10010102101997. The next prime is 10010102102059. The reversal of 10010102102001 is 10020120101001.

It is a happy number.

10010102102001 is digitally balanced in base 2, 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 2 ways, for example, as 3623483567025 + 6386618534976 = 1903545^2 + 2527176^2 .

It is not a de Polignac number, because 10010102102001 - 2² = 10010102101997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010102102801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84805480 + ... + 84923433.

Almost surely, 2^{10010102102001} is an apocalyptic number.

It is an amenable number.

10010102102001 is a deficient number, since it is larger than the sum of its proper divisors (4451140828627).

10010102102001 is a wasteful number, since it uses less digits than its factorization.

10010102102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169735472 (or 169735469 counting only the distinct ones).

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

Adding to 10010102102001 its reverse (10020120101001), we get a palindrome (20030222203002).

The spelling of 10010102102001 in words is "ten trillion, ten billion, one hundred two million, one hundred two thousand, one".