101240010 has 64 divisors (see below), whose sum is σ = 271209600. Its totient is φ = 26873856.

The previous prime is 101239979. The next prime is 101240023. The reversal of 101240010 is 10042101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101239974 and 101240001.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 68661 + ... + 70119.

It is an arithmetic number, because the mean of its divisors is an integer number (4237650).

Almost surely, 2^101240010 is an apocalyptic number.

101240010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101240010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135604800).

101240010 is an abundant number, since it is smaller than the sum of its proper divisors (169969590).

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

101240010 is a wasteful number, since it uses less digits than its factorization.

101240010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1726 counting only the distinct ones).

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

The square root of 101240010 is about 10061.8094794127. The cubic root of 101240010 is about 466.0695463752.

Adding to 101240010 its reverse (10042101), we get a palindrome (111282111).

The spelling of 101240010 in words is "one hundred one million, two hundred forty thousand, ten".