1000105101100 has 144 divisors (see below), whose sum is σ = 2496880189440. Its totient is φ = 340598534400.

The previous prime is 1000105101097. The next prime is 1000105101131. The reversal of 1000105101100 is 11015010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 261737190 + ... + 261741010.

It is an arithmetic number, because the mean of its divisors is an integer number (17339445760).

Almost surely, 2^{1000105101100} is an apocalyptic number.

1000105101100 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 1000105101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248440094720).

1000105101100 is an abundant number, since it is smaller than the sum of its proper divisors (1496775088340).

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

1000105101100 is a wasteful number, since it uses less digits than its factorization.

1000105101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

The spelling of 1000105101100 in words is "one trillion, one hundred five million, one hundred one thousand, one hundred".