102117402223000 has 256 divisors, whose sum is σ = 253288761523200. Its totient is φ = 38427463065600.

The previous prime is 102117402222949. The next prime is 102117402223003. The reversal of 102117402223000 is 322204711201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102117402223003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2064496269 + ... + 2064545731.

It is an arithmetic number, because the mean of its divisors is an integer number (989409224700).

Almost surely, 2^{102117402223000} is an apocalyptic number.

102117402223000 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 102117402223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126644380761600).

102117402223000 is an abundant number, since it is smaller than the sum of its proper divisors (151171359300200).

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

102117402223000 is a wasteful number, since it uses less digits than its factorization.

102117402223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50259 (or 50245 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 102117402223000 its reverse (322204711201), we get a palindrome (102439606934201).

The spelling of 102117402223000 in words is "one hundred two trillion, one hundred seventeen billion, four hundred two million, two hundred twenty-three thousand".