1101210121011 has 216 divisors, whose sum is σ = 2088065396592. Its totient is φ = 513729216000.

The previous prime is 1101210121001. The next prime is 1101210121049.

1101210121011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1101210121011 - 2¹⁸ = 1101209858867 is a prime.

It is a super-2 number, since 2×1101210121011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101210121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 111217161 + ... + 111227061.

Almost surely, 2^{1101210121011} is an apocalyptic number.

1101210121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101210121011 is a deficient number, since it is larger than the sum of its proper divisors (986855275581).

1101210121011 is a wasteful number, since it uses less digits than its factorization.

1101210121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1101210 and 121011, that added together give a palindrome (1222221).

The spelling of 1101210121011 in words is "one trillion, one hundred one billion, two hundred ten million, one hundred twenty-one thousand, eleven".