102215040400 has 360 divisors, whose sum is σ = 278146650600. Its totient is φ = 36056064000.

The previous prime is 102215040359. The next prime is 102215040407. The reversal of 102215040400 is 4040512201.

It can be written as a sum of positive squares in 12 ways, for example, as 84511141264 + 17703899136 = 290708^2 + 133056^2 .

It is not an unprimeable number, because it can be changed into a prime (102215040407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262763406 + ... + 262763794.

It is an arithmetic number, because the mean of its divisors is an integer number (772629585).

Almost surely, 2^102215040400 is an apocalyptic number.

102215040400 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 102215040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139073325300).

102215040400 is an abundant number, since it is smaller than the sum of its proper divisors (175931610200).

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

102215040400 is a wasteful number, since it uses less digits than its factorization.

102215040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 102215040400 its reverse (4040512201), we get a palindrome (106255552601).

The spelling of 102215040400 in words is "one hundred two billion, two hundred fifteen million, forty thousand, four hundred".