1010601000072 has 96 divisors (see below), whose sum is σ = 2803382524800. Its totient is φ = 328794567552.

The previous prime is 1010601000053. The next prime is 1010601000083. The reversal of 1010601000072 is 2700001060101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435168 + ... + 1486799.

It is an arithmetic number, because the mean of its divisors is an integer number (29201901300).

Almost surely, 2^{1010601000072} is an apocalyptic number.

1010601000072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010601000072 is an abundant number, since it is smaller than the sum of its proper divisors (1792781524728).

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

1010601000072 is a wasteful number, since it uses less digits than its factorization.

1010601000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922155 (or 1922148 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 1010601000072 its reverse (2700001060101), we get a palindrome (3710602060173).

The spelling of 1010601000072 in words is "one trillion, ten billion, six hundred one million, seventy-two", and thus it is an aban number.