101001101012 has 96 divisors (see below), whose sum is σ = 222140620800. Its totient is φ = 39196804608.

The previous prime is 101001100987. The next prime is 101001101021. The reversal of 101001101012 is 210101100101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281689 + ... + 1358207.

It is an arithmetic number, because the mean of its divisors is an integer number (2313964800).

Almost surely, 2^101001101012 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 101001101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111070310400).

101001101012 is an abundant number, since it is smaller than the sum of its proper divisors (121139519788).

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

101001101012 is a wasteful number, since it uses less digits than its factorization.

101001101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76653 (or 76651 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001101012 its reverse (210101100101), we get a palindrome (311102201113).

The spelling of 101001101012 in words is "one hundred one billion, one million, one hundred one thousand, twelve".