101101110010012 has 144 divisors (see below), whose sum is σ = 223349118920928. Its totient is φ = 39767308922880.

The previous prime is 101101110010009. The next prime is 101101110010039. The reversal of 101101110010012 is 210010011101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87829462 + ... + 88973122.

It is an arithmetic number, because the mean of its divisors is an integer number (1551035548062).

Almost surely, 2^{101101110010012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101110010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111674559460464).

101101110010012 is an abundant number, since it is smaller than the sum of its proper divisors (122248008910916).

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

101101110010012 is a wasteful number, since it uses less digits than its factorization.

101101110010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144356 (or 1144347 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101110010012 its reverse (210010011101101), we get a palindrome (311111121111113).

The spelling of 101101110010012 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, ten thousand, twelve".