10102303023000 has 512 divisors, whose sum is σ = 34103553120000. Its totient is φ = 2480281190400.

The previous prime is 10102303022963. The next prime is 10102303023023. The reversal of 10102303023000 is 32030320101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 943341646 + ... + 943352354.

Almost surely, 2^{10102303023000} is an apocalyptic number.

10102303023000 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 10102303023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051776560000).

10102303023000 is an abundant number, since it is smaller than the sum of its proper divisors (24001250097000).

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

10102303023000 is a wasteful number, since it uses less digits than its factorization.

10102303023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10102303023000 its reverse (32030320101), we get a palindrome (10134333343101).

The spelling of 10102303023000 in words is "ten trillion, one hundred two billion, three hundred three million, twenty-three thousand".