102030403020100 has 243 divisors, whose sum is σ = 228392072480271. Its totient is φ = 39563635968000.

The previous prime is 102030403020097. The next prime is 102030403020103. The reversal of 102030403020100 is 1020304030201.

It is a happy number.

The square root of 102030403020100 is 10101010.

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

It is an interprime number because it is at equal distance from previous prime (102030403020097) and next prime (102030403020103).

It can be written as a sum of positive squares in 40 ways, for example, as 69512672305476 + 32517730714624 = 8337426^2 + 5702432^2 .

It is not an unprimeable number, because it can be changed into a prime (102030403020103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 744747467232 + ... + 744747467368.

Almost surely, 2^{102030403020100} is an apocalyptic number.

102030403020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102030403020100 is the 10101010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102030403020100

102030403020100 is an abundant number, since it is smaller than the sum of its proper divisors (126361669460171).

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

102030403020100 is an equidigital number, since it uses as much as digits as its factorization.

102030403020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102030403020100 its reverse (1020304030201), we get a palindrome (103050707050301).

102030403020100 divided by its reverse (1020304030201) gives a square (100 = 10²).

The spelling of 102030403020100 in words is "one hundred two trillion, thirty billion, four hundred three million, twenty thousand, one hundred".