102023200312000 has 224 divisors, whose sum is σ = 275792796062784. Its totient is φ = 37077378048000.

The previous prime is 102023200311979. The next prime is 102023200312003. The reversal of 102023200312000 is 213002320201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102023200312003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148641604 + ... + 149326396.

It is an arithmetic number, because the mean of its divisors is an integer number (1231217839566).

Almost surely, 2^{102023200312000} is an apocalyptic number.

102023200312000 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 102023200312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137896398031392).

102023200312000 is an abundant number, since it is smaller than the sum of its proper divisors (173769595750784).

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

102023200312000 is a wasteful number, since it uses less digits than its factorization.

102023200312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686524 (or 686504 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102023200312000 its reverse (213002320201), we get a palindrome (102236202632201).

The spelling of 102023200312000 in words is "one hundred two trillion, twenty-three billion, two hundred million, three hundred twelve thousand".