1001000010100 has 72 divisors (see below), whose sum is σ = 2195549003648. Its totient is φ = 396098640000.

The previous prime is 1001000010071. The next prime is 1001000010119. The reversal of 1001000010100 is 10100001001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1001000010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9909850 + ... + 10010350.

Almost surely, 2^{1001000010100} is an apocalyptic number.

1001000010100 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 1001000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097774501824).

1001000010100 is an abundant number, since it is smaller than the sum of its proper divisors (1194548993548).

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

1001000010100 is a wasteful number, since it uses less digits than its factorization.

1001000010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101585 (or 101578 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1001000010100 its reverse (10100001001), we get a palindrome (1011100011101).

Subtracting from 1001000010100 its reverse (10100001001), we obtain a palindrome (990900009099).

The spelling of 1001000010100 in words is "one trillion, one billion, ten thousand, one hundred".