102233342211000 has 2304 divisors, whose sum is σ = 450198141419520. Its totient is φ = 19077327360000.

The previous prime is 102233342210939. The next prime is 102233342211047. The reversal of 102233342211000 is 112243332201.

102233342211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10111095945 + ... + 10111106055.

It is an arithmetic number, because the mean of its divisors is an integer number (195398498880).

Almost surely, 2^{102233342211000} is an apocalyptic number.

102233342211000 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 102233342211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225099070709760).

102233342211000 is an abundant number, since it is smaller than the sum of its proper divisors (347964799208520).

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

102233342211000 is a wasteful number, since it uses less digits than its factorization.

102233342211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102233342211000 its reverse (112243332201), we get a palindrome (102345585543201).

The spelling of 102233342211000 in words is "one hundred two trillion, two hundred thirty-three billion, three hundred forty-two million, two hundred eleven thousand".