1102121212011 has 32 divisors (see below), whose sum is σ = 1511472700416. Its totient is φ = 713906784000.

The previous prime is 1102121211979. The next prime is 1102121212021.

It is a happy number.

1102121212011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1102121212011 - 2⁵ = 1102121211979 is a prime.

It is a super-2 number, since 2×1102121212011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102121212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121227576 + ... + 121236666.

It is an arithmetic number, because the mean of its divisors is an integer number (47233521888).

Almost surely, 2^{1102121212011} is an apocalyptic number.

1102121212011 is a deficient number, since it is larger than the sum of its proper divisors (409351488405).

1102121212011 is a wasteful number, since it uses less digits than its factorization.

1102121212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13043.

The product of its (nonzero) digits is 16, while the sum is 15.

The spelling of 1102121212011 in words is "one trillion, one hundred two billion, one hundred twenty-one million, two hundred twelve thousand, eleven".