10011020101001 has 32 divisors (see below), whose sum is σ = 10990102882176. Its totient is φ = 9082952320000.

The previous prime is 10011020100947. The next prime is 10011020101031. The reversal of 10011020101001 is 10010102011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10011020101001 - 2²⁶ = 10010952992137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011020101001.

It is not an unprimeable number, because it can be changed into a prime (10011020101031) 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, 11501246 + ... + 12341016.

It is an arithmetic number, because the mean of its divisors is an integer number (343440715068).

Almost surely, 2^{10011020101001} is an apocalyptic number.

It is an amenable number.

10011020101001 is a deficient number, since it is larger than the sum of its proper divisors (979082781175).

10011020101001 is a wasteful number, since it uses less digits than its factorization.

10011020101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840073.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011020101001 its reverse (10010102011001), we get a palindrome (20021122112002).

Subtracting from 10011020101001 its reverse (10010102011001), we obtain a square (918090000 = 30300²).

The spelling of 10011020101001 in words is "ten trillion, eleven billion, twenty million, one hundred one thousand, one".