11010100101121 has 16 divisors (see below), whose sum is σ = 12632403921408. Its totient is φ = 9503544585600.

The previous prime is 11010100101089. The next prime is 11010100101149. The reversal of 11010100101121 is 12110100101011.

It is a cyclic number.

It is not a de Polignac number, because 11010100101121 - 2⁵ = 11010100101089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11010100101098 and 11010100101107.

It is not an unprimeable number, because it can be changed into a prime (11010100101521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304582716 + ... + 304618861.

It is an arithmetic number, because the mean of its divisors is an integer number (789525245088).

Almost surely, 2^{11010100101121} is an apocalyptic number.

11010100101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010100101121 is a deficient number, since it is larger than the sum of its proper divisors (1622303820287).

11010100101121 is a wasteful number, since it uses less digits than its factorization.

11010100101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609201672.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11010100101121 its reverse (12110100101011), we get a palindrome (23120200202132).

The spelling of 11010100101121 in words is "eleven trillion, ten billion, one hundred million, one hundred one thousand, one hundred twenty-one".