10010100100101 has 32 divisors (see below), whose sum is σ = 14389837884288. Its totient is φ = 6166587248640.

The previous prime is 10010100100087. The next prime is 10010100100103. The reversal of 10010100100101 is 10100100101001.

It is not a de Polignac number, because 10010100100101 - 2⁶ = 10010100100037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010100100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010100100103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239460 + ... + 4642893.

It is an arithmetic number, because the mean of its divisors is an integer number (449682433884).

Almost surely, 2^{10010100100101} is an apocalyptic number.

It is an amenable number.

10010100100101 is a deficient number, since it is larger than the sum of its proper divisors (4379737784187).

10010100100101 is a wasteful number, since it uses less digits than its factorization.

10010100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882981.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10010100100101 its reverse (10100100101001), we get a palindrome (20110200201102).

It can be divided in two parts, 10010100 and 100101, that multiplied together give a square (1002021020100 = 1001010²).

The spelling of 10010100100101 in words is "ten trillion, ten billion, one hundred million, one hundred thousand, one hundred one".