1001001010100 has 216 divisors, whose sum is σ = 2697399855360. Its totient is φ = 315708157440.

The previous prime is 1001001010027. The next prime is 1001001010111. The reversal of 1001001010100 is 10101001001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34647461 + ... + 34676339.

Almost surely, 2^{1001001010100} is an apocalyptic number.

1001001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348699927680).

1001001010100 is an abundant number, since it is smaller than the sum of its proper divisors (1696398845260).

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

1001001010100 is a wasteful number, since it uses less digits than its factorization.

1001001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29219 (or 29199 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1001001010100 its reverse (10101001001), we get a palindrome (1011102011101).

Subtracting from 1001001010100 its reverse (10101001001), we obtain a palindrome (990900009099).

The spelling of 1001001010100 in words is "one trillion, one billion, one million, ten thousand, one hundred".