102122543600 has 240 divisors, whose sum is σ = 315760551936. Its totient is φ = 30803328000.

The previous prime is 102122543597. The next prime is 102122543617. The reversal of 102122543600 is 6345221201.

It is a happy number.

It is a super-2 number, since 2×102122543600² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102122543600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901322 + ... + 1008278.

Almost surely, 2^102122543600 is an apocalyptic number.

102122543600 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 102122543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157880275968).

102122543600 is an abundant number, since it is smaller than the sum of its proper divisors (213638008336).

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

102122543600 is a wasteful number, since it uses less digits than its factorization.

102122543600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107024 (or 107013 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 102122543600 its reverse (6345221201), we get a palindrome (108467764801).

The spelling of 102122543600 in words is "one hundred two billion, one hundred twenty-two million, five hundred forty-three thousand, six hundred".