101001072 has 40 divisors (see below), whose sum is σ = 261324544. Its totient is φ = 33614784.

The previous prime is 101001071. The next prime is 101001091. The reversal of 101001072 is 270100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41193 + ... + 43575.

Almost surely, 2^101001072 is an apocalyptic number.

101001072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001072 is an abundant number, since it is smaller than the sum of its proper divisors (160323472).

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

101001072 is a wasteful number, since it uses less digits than its factorization.

101001072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 101001072 is about 10049.9289549728. The cubic root of 101001072 is about 465.7025984030.

Adding to 101001072 its reverse (270100101), we get a palindrome (371101173).

The spelling of 101001072 in words is "one hundred one million, one thousand, seventy-two".