102122132200000 has 168 divisors, whose sum is σ = 276321328553088. Its totient is φ = 37135320000000.

The previous prime is 102122132199977. The next prime is 102122132200001. The reversal of 102122132200000 is 2231221201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102122132200001) 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, 21009576 + ... + 25409575.

It is an arithmetic number, because the mean of its divisors is an integer number (1644769812816).

Almost surely, 2^{102122132200000} is an apocalyptic number.

102122132200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122132200000 is an abundant number, since it is smaller than the sum of its proper divisors (174199196353088).

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

102122132200000 is an frugal number, since it uses more digits than its factorization.

102122132200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46419199 (or 46419169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102122132200000 its reverse (2231221201), we get a palindrome (102124363421201).

The spelling of 102122132200000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred thirty-two million, two hundred thousand".