1001000100100 has 216 divisors, whose sum is σ = 2938578071744. Its totient is φ = 287999712000.

The previous prime is 1001000100077. The next prime is 1001000100103. The reversal of 1001000100100 is 10010001001.

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 1001000100100.

It is not an unprimeable number, because it can be changed into a prime (1001000100103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 646555 + ... + 1555645.

Almost surely, 2^{1001000100100} is an apocalyptic number.

1001000100100 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 1001000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469289035872).

1001000100100 is an abundant number, since it is smaller than the sum of its proper divisors (1937577971644).

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

1001000100100 is a wasteful number, since it uses less digits than its factorization.

1001000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909147 (or 909129 counting only the distinct ones).

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

Adding to 1001000100100 its reverse (10010001001), we get a palindrome (1011010101101).

Subtracting from 1001000100100 its reverse (10010001001), we obtain a palindrome (990990099099).

1001000100100 divided by its reverse (10010001001) gives a square (100 = 10²).

The spelling of 1001000100100 in words is "one trillion, one billion, one hundred thousand, one hundred".