1055101010000 has 200 divisors, whose sum is σ = 2587120637640. Its totient is φ = 416673792000.

The previous prime is 1055101009993. The next prime is 1055101010003. The reversal of 1055101010000 is 101015501.

It can be written as a sum of positive squares in 20 ways, for example, as 1053965050384 + 1135959616 = 1026628^2 + 33704^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1055101010000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055101010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 493728932 + ... + 493731068.

Almost surely, 2^{1055101010000} is an apocalyptic number.

1055101010000 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 1055101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293560318820).

1055101010000 is an abundant number, since it is smaller than the sum of its proper divisors (1532019627640).

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

1055101010000 is an equidigital number, since it uses as much as digits as its factorization.

1055101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 1055101010000 its reverse (101015501), we get a palindrome (1055202025501).

The spelling of 1055101010000 in words is "one trillion, fifty-five billion, one hundred one million, ten thousand".