1101122102001 has 64 divisors (see below), whose sum is σ = 1598906843136. Its totient is φ = 671448960000.

The previous prime is 1101122101993. The next prime is 1101122102027. The reversal of 1101122102001 is 1002012211011.

It is not a de Polignac number, because 1101122102001 - 2³ = 1101122101993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101122102501) 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 63 ways as a sum of consecutive naturals, for example, 149788476 + ... + 149795826.

It is an arithmetic number, because the mean of its divisors is an integer number (24982919424).

Almost surely, 2^{1101122102001} is an apocalyptic number.

It is an amenable number.

1101122102001 is a deficient number, since it is larger than the sum of its proper divisors (497784741135).

1101122102001 is a wasteful number, since it uses less digits than its factorization.

1101122102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101122102001 its reverse (1002012211011), we get a palindrome (2103134313012).

The spelling of 1101122102001 in words is "one trillion, one hundred one billion, one hundred twenty-two million, one hundred two thousand, one".