101111010001101 has 24 divisors (see below), whose sum is σ = 159123824543040. Its totient is φ = 63442202348736.

The previous prime is 101111010001081. The next prime is 101111010001153. The reversal of 101111010001101 is 101100010111101.

It is not a de Polignac number, because 101111010001101 - 2²⁶ = 101110942892237 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 (101111010001801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6478975281 + ... + 6478990886.

It is an arithmetic number, because the mean of its divisors is an integer number (6630159355960).

Almost surely, 2^{101111010001101} is an apocalyptic number.

It is an amenable number.

101111010001101 is a deficient number, since it is larger than the sum of its proper divisors (58012814541939).

101111010001101 is a wasteful number, since it uses less digits than its factorization.

101111010001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957966210 (or 12957966187 counting only the distinct ones).

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

Adding to 101111010001101 its reverse (101100010111101), we get a palindrome (202211020112202).

It can be divided in two parts, 1011 and 11010001101, that multiplied together give a palindrome (11131111113111).

The spelling of 101111010001101 in words is "one hundred one trillion, one hundred eleven billion, ten million, one thousand, one hundred one".