1010103132000 has 384 divisors, whose sum is σ = 3488580845568. Its totient is φ = 255121152000.

The previous prime is 1010103131987. The next prime is 1010103132097. The reversal of 1010103132000 is 2313010101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17455114 + ... + 17512886.

It is an arithmetic number, because the mean of its divisors is an integer number (9084845952).

Almost surely, 2^{1010103132000} is an apocalyptic number.

1010103132000 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 1010103132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744290422784).

1010103132000 is an abundant number, since it is smaller than the sum of its proper divisors (2478477713568).

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

1010103132000 is a wasteful number, since it uses less digits than its factorization.

1010103132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57879 (or 57861 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1010103132000 its reverse (2313010101), we get a palindrome (1012416142101).

The spelling of 1010103132000 in words is "one trillion, ten billion, one hundred three million, one hundred thirty-two thousand".