101042010 has 48 divisors (see below), whose sum is σ = 268310016. Its totient is φ = 26370144.

The previous prime is 101041991. The next prime is 101042023. The reversal of 101042010 is 10240101.

It is a happy number.

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 = 101041983 and 101042001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7714 + ... + 16173.

It is an arithmetic number, because the mean of its divisors is an integer number (5589792).

Almost surely, 2^101042010 is an apocalyptic number.

101042010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101042010 is an abundant number, since it is smaller than the sum of its proper divisors (167268006).

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

101042010 is a wasteful number, since it uses less digits than its factorization.

101042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23947 (or 23944 counting only the distinct ones).

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

The square root of 101042010 is about 10051.9654794473. The cubic root of 101042010 is about 465.7655098070.

Adding to 101042010 its reverse (10240101), we get a palindrome (111282111).

The spelling of 101042010 in words is "one hundred one million, forty-two thousand, ten".