1010314041100 has 216 divisors, whose sum is σ = 2772186787440. Its totient is φ = 316757306880.

The previous prime is 1010314041073. The next prime is 1010314041103. The reversal of 1010314041100 is 11404130101.

It is not an unprimeable number, because it can be changed into a prime (1010314041103) 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, 6741786 + ... + 6890014.

It is an arithmetic number, because the mean of its divisors is an integer number (12834198090).

Almost surely, 2^{1010314041100} is an apocalyptic number.

1010314041100 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 1010314041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386093393720).

1010314041100 is an abundant number, since it is smaller than the sum of its proper divisors (1761872746340).

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

1010314041100 is a wasteful number, since it uses less digits than its factorization.

1010314041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148377 (or 148363 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1010314041100 its reverse (11404130101), we get a palindrome (1021718171201).

The spelling of 1010314041100 in words is "one trillion, ten billion, three hundred fourteen million, forty-one thousand, one hundred".