10201001111101 has 16 divisors (see below), whose sum is σ = 10645999958016. Its totient is φ = 9763462800000.

The previous prime is 10201001111083. The next prime is 10201001111129. The reversal of 10201001111101 is 10111110010201.

It is a cyclic number.

It is not a de Polignac number, because 10201001111101 - 2⁵ = 10201001111069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201001111701) 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, 1064161 + ... + 4640521.

It is an arithmetic number, because the mean of its divisors is an integer number (665374997376).

Almost surely, 2^{10201001111101} is an apocalyptic number.

It is an amenable number.

10201001111101 is a deficient number, since it is larger than the sum of its proper divisors (444998846915).

10201001111101 is a wasteful number, since it uses less digits than its factorization.

10201001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577404.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10201001111101 its reverse (10111110010201), we get a palindrome (20312111121302).

The spelling of 10201001111101 in words is "ten trillion, two hundred one billion, one million, one hundred eleven thousand, one hundred one".