102233011010112 has 168 divisors, whose sum is σ = 303372271308600. Its totient is φ = 32877045669888.

The previous prime is 102233011010089. The next prime is 102233011010113. The reversal of 102233011010112 is 211010110332201.

102233011010112 is a `hidden beast` number, since 10 + 223 + 301 + 10 + 10 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68877119002176 + 33355892007936 = 8299224^2 + 5775456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102233011010113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19157418 + ... + 23905494.

Almost surely, 2^{102233011010112} is an apocalyptic number.

102233011010112 is a gapful number since it is divisible by the number (12) 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 102233011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151686135654300).

102233011010112 is an abundant number, since it is smaller than the sum of its proper divisors (201139260298488).

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

102233011010112 is a wasteful number, since it uses less digits than its factorization.

102233011010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749413 (or 4749400 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102233011010112 its reverse (211010110332201), we get a palindrome (313243121342313).

The spelling of 102233011010112 in words is "one hundred two trillion, two hundred thirty-three billion, eleven million, ten thousand, one hundred twelve".