102310203111200 has 216 divisors, whose sum is σ = 291919710411504. Its totient is φ = 34911535680000.

The previous prime is 102310203111197. The next prime is 102310203111203. The reversal of 102310203111200 is 2111302013201.

It is an interprime number because it is at equal distance from previous prime (102310203111197) and next prime (102310203111203).

It is not an unprimeable number, because it can be changed into a prime (102310203111203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2086475 + ... + 14455925.

It is an arithmetic number, because the mean of its divisors is an integer number (1351480140794).

Almost surely, 2^{102310203111200} is an apocalyptic number.

102310203111200 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 102310203111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145959855205752).

102310203111200 is an abundant number, since it is smaller than the sum of its proper divisors (189609507300304).

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

102310203111200 is a wasteful number, since it uses less digits than its factorization.

102310203111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369696 (or 12369676 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102310203111200 its reverse (2111302013201), we get a palindrome (104421505124401).

The spelling of 102310203111200 in words is "one hundred two trillion, three hundred ten billion, two hundred three million, one hundred eleven thousand, two hundred".