10100110101012 has 72 divisors (see below), whose sum is σ = 26778747131136. Its totient is φ = 3206015377344.

The previous prime is 10100110101001. The next prime is 10100110101043. The reversal of 10100110101012 is 21010101100101.

10100110101012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10100110100985 and 10100110101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80604048 + ... + 80729255.

It is an arithmetic number, because the mean of its divisors is an integer number (371927043488).

Almost surely, 2^{10100110101012} is an apocalyptic number.

10100110101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100110101012 is an abundant number, since it is smaller than the sum of its proper divisors (16678637030124).

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

10100110101012 is a wasteful number, since it uses less digits than its factorization.

10100110101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161333397 (or 161333392 counting only the distinct ones).

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

Adding to 10100110101012 its reverse (21010101100101), we get a palindrome (31110211201113).

The spelling of 10100110101012 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred one thousand, twelve".