101001012 has 48 divisors (see below), whose sum is σ = 285183360. Its totient is φ = 27159552.

The previous prime is 101001011. The next prime is 101001013. The reversal of 101001012 is 210100101.

It is an interprime number because it is at equal distance from previous prime (101001011) and next prime (101001013).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001011) 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 15 ways as a sum of consecutive naturals, for example, 33937 + ... + 36792.

It is an arithmetic number, because the mean of its divisors is an integer number (5941320).

Almost surely, 2^101001012 is an apocalyptic number.

101001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001012 is an abundant number, since it is smaller than the sum of its proper divisors (184182348).

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

101001012 is a wasteful number, since it uses less digits than its factorization.

101001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70760 (or 70758 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101001012 is about 10049.9259698766. The cubic root of 101001012 is about 465.7025061856.

Adding to 101001012 its reverse (210100101), we get a palindrome (311101113).

It can be divided in two parts, 10100101 and 2, that multiplied together give a palindrome (20200202).

The spelling of 101001012 in words is "one hundred one million, one thousand, twelve".