10002010101 has 16 divisors (see below), whose sum is σ = 13617416064. Its totient is φ = 6528639744.

The previous prime is 10002010091. The next prime is 10002010121. The reversal of 10002010101 is 10101020001.

It is not a de Polignac number, because 10002010101 - 2⁶ = 10002010037 is a prime.

10002010101 is a modest number, since divided by 10101 gives 10002 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10002010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002010121) 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, 136681 + ... + 196686.

It is an arithmetic number, because the mean of its divisors is an integer number (851088504).

Almost surely, 2^10002010101 is an apocalyptic number.

It is an amenable number.

10002010101 is a deficient number, since it is larger than the sum of its proper divisors (3615405963).

10002010101 is a wasteful number, since it uses less digits than its factorization.

10002010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333580.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10002010101 its reverse (10101020001), we get a palindrome (20103030102).

The spelling of 10002010101 in words is "ten billion, two million, ten thousand, one hundred one".