10101001110012 has 72 divisors (see below), whose sum is σ = 26649351041040. Its totient is φ = 3222899546880.

The previous prime is 10101001110007. The next prime is 10101001110041. The reversal of 10101001110012 is 21001110010101.

It is a super-2 number, since 2×10101001110012² (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 junction number, because it is equal to n+sod(n) for n = 10101001109976 and 10101001110003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64483062 + ... + 64639517.

It is an arithmetic number, because the mean of its divisors is an integer number (370129875570).

Almost surely, 2^{10101001110012} is an apocalyptic number.

10101001110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101001110012 is an abundant number, since it is smaller than the sum of its proper divisors (16548349931028).

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

10101001110012 is a wasteful number, since it uses less digits than its factorization.

10101001110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129122683 (or 129122678 counting only the distinct ones).

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

Adding to 10101001110012 its reverse (21001110010101), we get a palindrome (31102111120113).

The spelling of 10101001110012 in words is "ten trillion, one hundred one billion, one million, one hundred ten thousand, twelve".