1010010051040 has 216 divisors, whose sum is σ = 2520954220680. Its totient is φ = 382349079552.

The previous prime is 1010010051007. The next prime is 1010010051053. The reversal of 1010010051040 is 401500100101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010010051040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3447133134 + ... + 3447133426.

It is an arithmetic number, because the mean of its divisors is an integer number (11671084355).

Almost surely, 2^{1010010051040} is an apocalyptic number.

1010010051040 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 1010010051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260477110340).

1010010051040 is an abundant number, since it is smaller than the sum of its proper divisors (1510944169640).

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

1010010051040 is an equidigital number, since it uses as much as digits as its factorization.

1010010051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 1010010051040 its reverse (401500100101), we get a palindrome (1411510151141).

The spelling of 1010010051040 in words is "one trillion, ten billion, ten million, fifty-one thousand, forty".