1032102101300 has 72 divisors (see below), whose sum is σ = 2256587991000. Its totient is φ = 409729208320.

The previous prime is 1032102101291. The next prime is 1032102101323. The reversal of 1032102101300 is 31012012301.

It can be written as a sum of positive squares in 12 ways, for example, as 452926308004 + 579175793296 = 672998^2 + 761036^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9791276 + ... + 9896124.

It is an arithmetic number, because the mean of its divisors is an integer number (31341499875).

Almost surely, 2^{1032102101300} is an apocalyptic number.

1032102101300 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 1032102101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128293995500).

1032102101300 is an abundant number, since it is smaller than the sum of its proper divisors (1224485889700).

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

1032102101300 is a wasteful number, since it uses less digits than its factorization.

1032102101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105605 (or 105598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1032102101300 its reverse (31012012301), we get a palindrome (1063114113601).

The spelling of 1032102101300 in words is "one trillion, thirty-two billion, one hundred two million, one hundred one thousand, three hundred".