10020001111101 has 10 divisors (see below), whose sum is σ = 14968149808062. Its totient is φ = 6680000740680.

The previous prime is 10020001111049. The next prime is 10020001111157. The reversal of 10020001111101 is 10111110002001.

It can be written as a sum of positive squares in only one way, i.e., 6790975402500 + 3229025708601 = 2605950^2 + 1796949^2 .

It is not a de Polignac number, because 10020001111101 - 2⁹ = 10020001110589 is a prime.

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 (10020001111171) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61851858630 + ... + 61851858791.

Almost surely, 2^{10020001111101} is an apocalyptic number.

It is an amenable number.

10020001111101 is a deficient number, since it is larger than the sum of its proper divisors (4948148696961).

10020001111101 is an equidigital number, since it uses as much as digits as its factorization.

10020001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123703717433 (or 123703717424 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10020001111101 its reverse (10111110002001), we get a palindrome (20131111113102).

The spelling of 10020001111101 in words is "ten trillion, twenty billion, one million, one hundred eleven thousand, one hundred one".