102122210000 has 100 divisors (see below), whose sum is σ = 247433320992. Its totient is φ = 40818288000.

The previous prime is 102122209997. The next prime is 102122210023. The reversal of 102122210000 is 12221201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17227037 + ... + 17232963.

Almost surely, 2^102122210000 is an apocalyptic number.

102122210000 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 102122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123716660496).

102122210000 is an abundant number, since it is smaller than the sum of its proper divisors (145311110992).

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

102122210000 is an equidigital number, since it uses as much as digits as its factorization.

102122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102122210000 its reverse (12221201), we get a palindrome (102134431201).

The spelling of 102122210000 in words is "one hundred two billion, one hundred twenty-two million, two hundred ten thousand".