101203312 has 80 divisors (see below), whose sum is σ = 247698432. Its totient is φ = 39029760.

The previous prime is 101203309. The next prime is 101203327. The reversal of 101203312 is 213302101.

It is a super-2 number, since 2×101203312² = 20484220719538688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101203292 and 101203301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 42637 + ... + 44947.

Almost surely, 2^101203312 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 101203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123849216).

101203312 is an abundant number, since it is smaller than the sum of its proper divisors (146495120).

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

101203312 is a wasteful number, since it uses less digits than its factorization.

101203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101203312 is about 10059.9856858745. The cubic root of 101203312 is about 466.0132251400.

Adding to 101203312 its reverse (213302101), we get a palindrome (314505413).

The spelling of 101203312 in words is "one hundred one million, two hundred three thousand, three hundred twelve".