1151105515101 has 24 divisors (see below), whose sum is σ = 1716406814720. Its totient is φ = 742621413600.

The previous prime is 1151105515081. The next prime is 1151105515103. The reversal of 1151105515101 is 1015155011511.

1151105515101 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 1 + 0 + 551 + 5 + 101 = 666.

It is not a de Polignac number, because 1151105515101 - 2⁶ = 1151105515037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151105515103) 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, 9848916 + ... + 9965106.

Almost surely, 2^{1151105515101} is an apocalyptic number.

It is an amenable number.

1151105515101 is a deficient number, since it is larger than the sum of its proper divisors (565301299619).

1151105515101 is a wasteful number, since it uses less digits than its factorization.

1151105515101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151737 (or 151734 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 27.

The spelling of 1151105515101 in words is "one trillion, one hundred fifty-one billion, one hundred five million, five hundred fifteen thousand, one hundred one".