10100118072 has 64 divisors (see below), whose sum is σ = 27582710400. Its totient is φ = 3056538240.

The previous prime is 10100118071. The next prime is 10100118073. The reversal of 10100118072 is 27081100101.

It is an interprime number because it is at equal distance from previous prime (10100118071) and next prime (10100118073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100118071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174579 + ... + 225117.

It is an arithmetic number, because the mean of its divisors is an integer number (430979850).

Almost surely, 2^10100118072 is an apocalyptic number.

10100118072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100118072 is an abundant number, since it is smaller than the sum of its proper divisors (17482592328).

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

10100118072 is a wasteful number, since it uses less digits than its factorization.

10100118072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51316 (or 51312 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

Adding to 10100118072 its reverse (27081100101), we get a palindrome (37181218173).

The spelling of 10100118072 in words is "ten billion, one hundred million, one hundred eighteen thousand, seventy-two".