102400901 has 2 divisors, whose sum is σ = 102400902. Its totient is φ = 102400900.

The previous prime is 102400897. The next prime is 102400913. The reversal of 102400901 is 109004201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94284100 + 8116801 = 9710^2 + 2849^2 .

It is an emirp because it is prime and its reverse (109004201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102400901 - 2² = 102400897 is a prime.

It is a super-2 number, since 2×102400901² = 20971889051223602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102400901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102400981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200450 + 51200451.

It is an arithmetic number, because the mean of its divisors is an integer number (51200451).

Almost surely, 2^102400901 is an apocalyptic number.

It is an amenable number.

102400901 is a deficient number, since it is larger than the sum of its proper divisors (1).

102400901 is an equidigital number, since it uses as much as digits as its factorization.

102400901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102400901 is about 10119.3330313811. Note that the first 3 decimals coincide. The cubic root of 102400901 is about 467.8442102663.

It can be divided in two parts, 102400 and 901, that added together give a palindrome (103301).

The spelling of 102400901 in words is "one hundred two million, four hundred thousand, nine hundred one".