1002010102101 has 16 divisors (see below), whose sum is σ = 1485003078720. Its totient is φ = 667762084080.

The previous prime is 1002010102061. The next prime is 1002010102117. The reversal of 1002010102101 is 1012010102001.

It is a happy number.

1002010102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002010102101 - 2¹⁰ = 1002010101077 is a prime.

It is a super-2 number, since 2×1002010102101² (a number of 25 digits) contains 22 as substring.

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 (1002010102601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6720750 + ... + 6868223.

It is an arithmetic number, because the mean of its divisors is an integer number (92812692420).

Almost surely, 2^{1002010102101} is an apocalyptic number.

It is an amenable number.

1002010102101 is a deficient number, since it is larger than the sum of its proper divisors (482992976619).

1002010102101 is a wasteful number, since it uses less digits than its factorization.

1002010102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13591713 (or 13591707 counting only the distinct ones).

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

Adding to 1002010102101 its reverse (1012010102001), we get a palindrome (2014020204102).

The spelling of 1002010102101 in words is "one trillion, two billion, ten million, one hundred two thousand, one hundred one".