10011001101102 has 12 divisors (see below), whose sum is σ = 21690502385760. Its totient is φ = 3337000367028.

The previous prime is 10011001101077. The next prime is 10011001101107. The reversal of 10011001101102 is 20110110011001.

10011001101102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10011001101102² (a number of 27 digits) contains 22 as substring.

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 (10011001101107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278083363902 + ... + 278083363937.

It is an arithmetic number, because the mean of its divisors is an integer number (1807541865480).

Almost surely, 2^{10011001101102} is an apocalyptic number.

10011001101102 is an abundant number, since it is smaller than the sum of its proper divisors (11679501284658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011001101102 is a wasteful number, since it uses less digits than its factorization.

10011001101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556166727847 (or 556166727844 counting only the distinct ones).

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

Adding to 10011001101102 its reverse (20110110011001), we get a palindrome (30121111112103).

The spelling of 10011001101102 in words is "ten trillion, eleven billion, one million, one hundred one thousand, one hundred two".