102233231100000 has 3456 divisors, whose sum is σ = 501249971948544. Its totient is φ = 19072972800000.

The previous prime is 102233231099999. The next prime is 102233231100023. The reversal of 102233231100000 is 1132332201.

Added to its reverse (1132332201) it gives a square (102234363432201 = 10111101²).

102233231100000 is a `hidden beast` number, since 1 + 0 + 22 + 332 + 311 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×102233231100000² (a number of 29 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 33333298467 + ... + 33333301533.

It is an arithmetic number, because the mean of its divisors is an integer number (145037607624).

Almost surely, 2^{102233231100000} is an apocalyptic number.

102233231100000 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 102233231100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250624985974272).

102233231100000 is an abundant number, since it is smaller than the sum of its proper divisors (399016740848544).

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

102233231100000 is a wasteful number, since it uses less digits than its factorization.

102233231100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102233231100000 its reverse (1132332201), we get a palindrome (102234363432201).

The spelling of 102233231100000 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred thirty-one million, one hundred thousand".