102311231022000 has 5760 divisors, whose sum is σ = 510554854397952. Its totient is φ = 18425014272000.

The previous prime is 102311231021947. The next prime is 102311231022047. The reversal of 102311231022000 is 220132113201.

102311231022000 is a `hidden beast` number, since 1 + 0 + 23 + 112 + 310 + 220 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1232665433959 + ... + 1232665434041.

Almost surely, 2^{102311231022000} is an apocalyptic number.

102311231022000 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 102311231022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255277427198976).

102311231022000 is an abundant number, since it is smaller than the sum of its proper divisors (408243623375952).

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

102311231022000 is a wasteful number, since it uses less digits than its factorization.

102311231022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102311231022000 its reverse (220132113201), we get a palindrome (102531363135201).

The spelling of 102311231022000 in words is "one hundred two trillion, three hundred eleven billion, two hundred thirty-one million, twenty-two thousand".