1000101000100 has 144 divisors (see below), whose sum is σ = 2238172904016. Its totient is φ = 387763200000.

The previous prime is 1000101000061. The next prime is 1000101000139. The reversal of 1000101000100 is 10001010001.

1000101000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000101000061) and next prime (1000101000139).

It can be written as a sum of positive squares in 24 ways, for example, as 68289187684 + 931811812416 = 261322^2 + 965304^2 .

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 1000101000100.

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, 101005150 + ... + 101015050.

It is an arithmetic number, because the mean of its divisors is an integer number (15542867389).

Almost surely, 2^{1000101000100} is an apocalyptic number.

1000101000100 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 1000101000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119086452008).

1000101000100 is an abundant number, since it is smaller than the sum of its proper divisors (1238071903916).

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

1000101000100 is a wasteful number, since it uses less digits than its factorization.

1000101000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10226 (or 10219 counting only the distinct ones).

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

Adding to 1000101000100 its reverse (10001010001), we get a palindrome (1010102010101).

Subtracting from 1000101000100 its reverse (10001010001), we obtain a palindrome (990099990099).

1000101000100 divided by its reverse (10001010001) gives a square (100 = 10²).

The spelling of 1000101000100 in words is "one trillion, one hundred one million, one hundred", and thus it is an aban number.