101010002010001 has 48 divisors (see below), whose sum is σ = 119503571616000. Its totient is φ = 85116518226432.

The previous prime is 101010002009993. The next prime is 101010002010013. The reversal of 101010002010001 is 100010200010101.

It is not a de Polignac number, because 101010002010001 - 2³ = 101010002009993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010002010101) 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, 1243572676 + ... + 1243653898.

It is an arithmetic number, because the mean of its divisors is an integer number (2489657742000).

Almost surely, 2^{101010002010001} is an apocalyptic number.

It is an amenable number.

101010002010001 is a deficient number, since it is larger than the sum of its proper divisors (18493569605999).

101010002010001 is a wasteful number, since it uses less digits than its factorization.

101010002010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82958 (or 82951 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101010002010001 its reverse (100010200010101), we get a palindrome (201020202020102).

The spelling of 101010002010001 in words is "one hundred one trillion, ten billion, two million, ten thousand, one".