101042312 has 64 divisors (see below), whose sum is σ = 230688000. Its totient is φ = 41395200.

The previous prime is 101042311. The next prime is 101042321. The reversal of 101042312 is 213240101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101042311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62312 + ... + 63912.

It is an arithmetic number, because the mean of its divisors is an integer number (3604500).

Almost surely, 2^101042312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101042312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115344000).

101042312 is an abundant number, since it is smaller than the sum of its proper divisors (129645688).

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

101042312 is a wasteful number, since it uses less digits than its factorization.

101042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101042312 is about 10051.9805013738. The cubic root of 101042312 is about 465.7659738419.

Adding to 101042312 its reverse (213240101), we get a palindrome (314282413).

The spelling of 101042312 in words is "one hundred one million, forty-two thousand, three hundred twelve".