102220233000000 has 784 divisors, whose sum is σ = 351629924079360. Its totient is φ = 26184038400000.

The previous prime is 102220232999971. The next prime is 102220233000019. The reversal of 102220233000000 is 332022201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8768994172 + ... + 8769005828.

Almost surely, 2^{102220233000000} is an apocalyptic number.

102220233000000 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 102220233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175814962039680).

102220233000000 is an abundant number, since it is smaller than the sum of its proper divisors (249409691079360).

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

102220233000000 is an frugal number, since it uses more digits than its factorization.

102220233000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11818 (or 11783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102220233000000 its reverse (332022201), we get a palindrome (102220565022201).

The spelling of 102220233000000 in words is "one hundred two trillion, two hundred twenty billion, two hundred thirty-three million", and thus it is an aban number.