111011120001029 has 2 divisors, whose sum is σ = 111011120001030. Its totient is φ = 111011120001028.

The previous prime is 111011120000981. The next prime is 111011120001043. The reversal of 111011120001029 is 920100021110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110971687176100 + 39432824929 = 10534310^2 + 198577^2 .

It is an emirp because it is prime and its reverse (920100021110111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111011120001029 - 2⁸ = 111011120000773 is a prime.

It is a super-2 number, since 2×111011120001029² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111011120001029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111011122001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505560000514 + 55505560000515.

It is an arithmetic number, because the mean of its divisors is an integer number (55505560000515).

Almost surely, 2^{111011120001029} is an apocalyptic number.

It is an amenable number.

111011120001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011120001029 is an equidigital number, since it uses as much as digits as its factorization.

111011120001029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 111011120001029 in words is "one hundred eleven trillion, eleven billion, one hundred twenty million, one thousand, twenty-nine".