1001051105100 has 144 divisors (see below), whose sum is σ = 2951818571520. Its totient is φ = 261839635200.

The previous prime is 1001051105099. The next prime is 1001051105113. The reversal of 1001051105100 is 15011501001.

1001051105100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001051105100.

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, 87110355 + ... + 87121845.

It is an arithmetic number, because the mean of its divisors is an integer number (20498740080).

Almost surely, 2^{1001051105100} is an apocalyptic number.

1001051105100 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 1001051105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475909285760).

1001051105100 is an abundant number, since it is smaller than the sum of its proper divisors (1950767466420).

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

1001051105100 is a wasteful number, since it uses less digits than its factorization.

1001051105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17040 (or 17033 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 1001051105100 its reverse (15011501001), we get a palindrome (1016062606101).

The spelling of 1001051105100 in words is "one trillion, one billion, fifty-one million, one hundred five thousand, one hundred".