10110001101012 has 36 divisors (see below), whose sum is σ = 25604700095520. Its totient is φ = 3363556765392.

The previous prime is 10110001100933. The next prime is 10110001101017. The reversal of 10110001101012 is 21010110001101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110001100985 and 10110001101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110001101017) 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, 268464312 + ... + 268501967.

It is an arithmetic number, because the mean of its divisors is an integer number (711241669320).

Almost surely, 2^{10110001101012} is an apocalyptic number.

10110001101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110001101012 is an abundant number, since it is smaller than the sum of its proper divisors (15494698994508).

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

10110001101012 is a wasteful number, since it uses less digits than its factorization.

10110001101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536966812 (or 536966807 counting only the distinct ones).

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

Adding to 10110001101012 its reverse (21010110001101), we get a palindrome (31120111102113).

The spelling of 10110001101012 in words is "ten trillion, one hundred ten billion, one million, one hundred one thousand, twelve".