102014242044100 has 729 divisors, whose sum is σ = 257318114106837. Its totient is φ = 35092492830720.

The previous prime is 102014242043963. The next prime is 102014242044103. The reversal of 102014242044100 is 1440242410201.

It is a happy number.

The square root of 102014242044100 is 10100210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 15694385484996 + 86319856559104 = 3961614^2 + 9290848^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102014242044103) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 1729054949871 + ... + 1729054949929.

Almost surely, 2^{102014242044100} is an apocalyptic number.

102014242044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102014242044100 is the 10100210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102014242044100

102014242044100 is an abundant number, since it is smaller than the sum of its proper divisors (155303872062737).

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

102014242044100 is a wasteful number, since it uses less digits than its factorization.

102014242044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

102014242044100 divided by its sum of digits (25) gives a square (4080569681764 = 2020042²).

Adding to 102014242044100 its reverse (1440242410201), we get a palindrome (103454484454301).

The spelling of 102014242044100 in words is "one hundred two trillion, fourteen billion, two hundred forty-two million, forty-four thousand, one hundred".