1027152210000 has 600 divisors, whose sum is σ = 3915081397920. Its totient is φ = 231251328000.

The previous prime is 1027152209999. The next prime is 1027152210013. The reversal of 1027152210000 is 122517201.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 98484786 + ... + 98495214.

Almost surely, 2^{1027152210000} is an apocalyptic number.

1027152210000 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 1027152210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957540698960).

1027152210000 is an abundant number, since it is smaller than the sum of its proper divisors (2887929187920).

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

1027152210000 is a wasteful number, since it uses less digits than its factorization.

1027152210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 1027152210000 its reverse (122517201), we get a palindrome (1027274727201).

The spelling of 1027152210000 in words is "one trillion, twenty-seven billion, one hundred fifty-two million, two hundred ten thousand".