102401010 has 40 divisors (see below), whose sum is σ = 275347116. Its totient is φ = 27306720.

The previous prime is 102401009. The next prime is 102401011. The reversal of 102401010 is 10104201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102401009) and next prime (102401011).

It can be written as a sum of positive squares in 2 ways, for example, as 101787921 + 613089 = 10089^2 + 783^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102400983 and 102401001.

It is not an unprimeable number, because it can be changed into a prime (102401011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62401 + ... + 64020.

Almost surely, 2^102401010 is an apocalyptic number.

102401010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102401010 is an abundant number, since it is smaller than the sum of its proper divisors (172946106).

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

102401010 is a wasteful number, since it uses less digits than its factorization.

102401010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126440 (or 126431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102401010 is about 10119.3384171101. The cubic root of 102401010 is about 467.8443762642.

Adding to 102401010 its reverse (10104201), we get a palindrome (112505211).

The spelling of 102401010 in words is "one hundred two million, four hundred one thousand, ten".