1157111017100 has 72 divisors (see below), whose sum is σ = 2630395185600. Its totient is φ = 441227404800.

The previous prime is 1157111017079. The next prime is 1157111017109. The reversal of 1157111017100 is 17101117511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1157111017100.

It is not an unprimeable number, because it can be changed into a prime (1157111017109) by changing a digit.

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, 2296241 + ... + 2754440.

Almost surely, 2^{1157111017100} is an apocalyptic number.

1157111017100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157111017100 is an abundant number, since it is smaller than the sum of its proper divisors (1473284168500).

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

1157111017100 is a wasteful number, since it uses less digits than its factorization.

1157111017100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050803 (or 5050796 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 26.

The spelling of 1157111017100 in words is "one trillion, one hundred fifty-seven billion, one hundred eleven million, seventeen thousand, one hundred".