101001010010004 has 144 divisors (see below), whose sum is σ = 276149076403200. Its totient is φ = 30941681121792.

The previous prime is 101001010009967. The next prime is 101001010010027. The reversal of 101001010010004 is 400010010100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 97898352 + ... + 98924664.

Almost surely, 2^{101001010010004} 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 101001010010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138074538201600).

101001010010004 is an abundant number, since it is smaller than the sum of its proper divisors (175148066393196).

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

101001010010004 is a wasteful number, since it uses less digits than its factorization.

101001010010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027254 (or 1027249 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001010010004 its reverse (400010010100101), we get a palindrome (501011020110105).

The spelling of 101001010010004 in words is "one hundred one trillion, one billion, ten million, ten thousand, four".