1010044770100 has 72 divisors (see below), whose sum is σ = 2252941115040. Its totient is φ = 392765627520.

The previous prime is 1010044770073. The next prime is 1010044770101. The reversal of 1010044770100 is 10774400101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010044770101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276911 + ... + 4506889.

It is an arithmetic number, because the mean of its divisors is an integer number (31290848820).

Almost surely, 2^{1010044770100} is an apocalyptic number.

1010044770100 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 1010044770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126470557520).

1010044770100 is an abundant number, since it is smaller than the sum of its proper divisors (1242896344940).

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

1010044770100 is a wasteful number, since it uses less digits than its factorization.

1010044770100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231217 (or 231210 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The spelling of 1010044770100 in words is "one trillion, ten billion, forty-four million, seven hundred seventy thousand, one hundred".