1121656201101 has 40 divisors (see below), whose sum is σ = 1679676666624. Its totient is φ = 745935428160.

The previous prime is 1121656201031. The next prime is 1121656201121. The reversal of 1121656201101 is 1011026561211.

1121656201101 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 656 + 2 + 0 + 1 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 1121656201101 - 2²¹ = 1121654103949 is a prime.

It is a super-2 number, since 2×1121656201101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121656201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93131586 + ... + 93143628.

Almost surely, 2^{1121656201101} is an apocalyptic number.

It is an amenable number.

1121656201101 is a deficient number, since it is larger than the sum of its proper divisors (558020465523).

1121656201101 is a wasteful number, since it uses less digits than its factorization.

1121656201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14783 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1121656201101 in words is "one trillion, one hundred twenty-one billion, six hundred fifty-six million, two hundred one thousand, one hundred one".