1010101101012 has 36 divisors (see below), whose sum is σ = 2591420243776. Its totient is φ = 331674987600.

The previous prime is 1010101101007. The next prime is 1010101101047. The reversal of 1010101101012 is 2101011010101.

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 = 1010101100985 and 1010101101003.

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 11 ways as a sum of consecutive naturals, for example, 209388364 + ... + 209393187.

Almost surely, 2^{1010101101012} is an apocalyptic number.

1010101101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010101101012 is an abundant number, since it is smaller than the sum of its proper divisors (1581319142764).

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

1010101101012 is a wasteful number, since it uses less digits than its factorization.

1010101101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418781628 (or 418781623 counting only the distinct ones).

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

Adding to 1010101101012 its reverse (2101011010101), we get a palindrome (3111112111113).

The spelling of 1010101101012 in words is "one trillion, ten billion, one hundred one million, one hundred one thousand, twelve".