102023111011200 has 768 divisors, whose sum is σ = 347399455011840. Its totient is φ = 26301667737600.

The previous prime is 102023111011169. The next prime is 102023111011223. The reversal of 102023111011200 is 2110111320201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102023111011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25953473235 + ... + 25953477165.

It is an arithmetic number, because the mean of its divisors is an integer number (452343040380).

Almost surely, 2^{102023111011200} is an apocalyptic number.

102023111011200 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 102023111011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173699727505920).

102023111011200 is an abundant number, since it is smaller than the sum of its proper divisors (245376344000640).

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

102023111011200 is a wasteful number, since it uses less digits than its factorization.

102023111011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102023111011200 its reverse (2110111320201), we get a palindrome (104133222331401).

The spelling of 102023111011200 in words is "one hundred two trillion, twenty-three billion, one hundred eleven million, eleven thousand, two hundred".