102223221101000 has 128 divisors (see below), whose sum is σ = 253302564584160. Its totient is φ = 38479553536000.

The previous prime is 102223221100933. The next prime is 102223221101047. The reversal of 102223221101000 is 101122322201.

It can be written as a sum of positive squares in 16 ways, for example, as 1441579632964 + 100781641468036 = 1200658^2 + 10039006^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 102223221101000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147435140 + ... + 148126860.

Almost surely, 2^{102223221101000} is an apocalyptic number.

102223221101000 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 102223221101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126651282292080).

102223221101000 is an abundant number, since it is smaller than the sum of its proper divisors (151079343483160).

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

102223221101000 is a wasteful number, since it uses less digits than its factorization.

102223221101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700452 (or 700438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102223221101000 its reverse (101122322201), we get a palindrome (102324343423201).

The spelling of 102223221101000 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-one million, one hundred one thousand".