10100101111101 has 12 divisors (see below), whose sum is σ = 14589067642812. Its totient is φ = 6733385646336.

The previous prime is 10100101111049. The next prime is 10100101111103. The reversal of 10100101111101 is 10111110100101.

It can be written as a sum of positive squares in 2 ways, for example, as 3134333864025 + 6965767247076 = 1770405^2 + 2639274^2 .

It is not a de Polignac number, because 10100101111101 - 2⁷ = 10100101110973 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 (10100101111103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4248685 + ... + 6184781.

It is an arithmetic number, because the mean of its divisors is an integer number (1215755636901).

Almost surely, 2^{10100101111101} is an apocalyptic number.

It is an amenable number.

10100101111101 is a deficient number, since it is larger than the sum of its proper divisors (4488966531711).

10100101111101 is a wasteful number, since it uses less digits than its factorization.

10100101111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515740 (or 2515737 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100101111101 its reverse (10111110100101), we get a palindrome (20211211211202).

The spelling of 10100101111101 in words is "ten trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one hundred one".