111012201001121 has 16 divisors (see below), whose sum is σ = 128008903920768. Its totient is φ = 94300150560000.

The previous prime is 111012201001103. The next prime is 111012201001123. The reversal of 111012201001121 is 121100102210111.

It is not a de Polignac number, because 111012201001121 - 2¹⁰ = 111012201000097 is a prime.

It is a super-2 number, since 2×111012201001121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111012201001096 and 111012201001105.

It is not an unprimeable number, because it can be changed into a prime (111012201001123) 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 15 ways as a sum of consecutive naturals, for example, 1530275 + ... + 14978856.

It is an arithmetic number, because the mean of its divisors is an integer number (8000556495048).

Almost surely, 2^{111012201001121} is an apocalyptic number.

It is an amenable number.

111012201001121 is a deficient number, since it is larger than the sum of its proper divisors (16996702919647).

111012201001121 is a wasteful number, since it uses less digits than its factorization.

111012201001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16517752.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111012201001121 its reverse (121100102210111), we get a palindrome (232112303211232).

The spelling of 111012201001121 in words is "one hundred eleven trillion, twelve billion, two hundred one million, one thousand, one hundred twenty-one".