1101012121101 has 16 divisors (see below), whose sum is σ = 1485134542080. Its totient is φ = 725455822080.

The previous prime is 1101012121057. The next prime is 1101012121123. The reversal of 1101012121101 is 1011212101011.

It is not a de Polignac number, because 1101012121101 - 2¹⁵ = 1101012088333 is a prime.

It is a super-2 number, since 2×1101012121101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101012121301) 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 15 ways as a sum of consecutive naturals, for example, 228960 + ... + 1501481.

It is an arithmetic number, because the mean of its divisors is an integer number (92820908880).

Almost surely, 2^{1101012121101} is an apocalyptic number.

It is an amenable number.

1101012121101 is a deficient number, since it is larger than the sum of its proper divisors (384122420979).

1101012121101 is a wasteful number, since it uses less digits than its factorization.

1101012121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732916.

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

Adding to 1101012121101 its reverse (1011212101011), we get a palindrome (2112224222112).

The spelling of 1101012121101 in words is "one trillion, one hundred one billion, twelve million, one hundred twenty-one thousand, one hundred one".