102012022323000 has 1152 divisors, whose sum is σ = 363601961424000. Its totient is φ = 26784276480000.

The previous prime is 102012022322953. The next prime is 102012022323011. The reversal of 102012022323000 is 323220210201.

102012022323000 is a `hidden beast` number, since 1 + 0 + 20 + 120 + 223 + 2 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170303876701 + ... + 170303877299.

It is an arithmetic number, because the mean of its divisors is an integer number (315626702625).

Almost surely, 2^{102012022323000} is an apocalyptic number.

102012022323000 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 102012022323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181800980712000).

102012022323000 is an abundant number, since it is smaller than the sum of its proper divisors (261589939101000).

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

102012022323000 is an equidigital number, since it uses as much as digits as its factorization.

102012022323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102012022323000 its reverse (323220210201), we get a palindrome (102335242533201).

The spelling of 102012022323000 in words is "one hundred two trillion, twelve billion, twenty-two million, three hundred twenty-three thousand".