11101012021 has 24 divisors (see below), whose sum is σ = 12497972760. Its totient is φ = 9849016320.

The previous prime is 11101012007. The next prime is 11101012057. The reversal of 11101012021 is 12021010111.

It can be written as a sum of positive squares in 4 ways, for example, as 1572519025 + 9528492996 = 39655^2 + 97614^2 .

It is not a de Polignac number, because 11101012021 - 2⁵ = 11101011989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101011989 and 11101012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101012421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233225 + ... + 1242193.

It is an arithmetic number, because the mean of its divisors is an integer number (520748865).

Almost surely, 2^11101012021 is an apocalyptic number.

11101012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101012021 is a deficient number, since it is larger than the sum of its proper divisors (1396960739).

11101012021 is a wasteful number, since it uses less digits than its factorization.

11101012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101012021 its reverse (12021010111), we get a palindrome (23122022132).

The spelling of 11101012021 in words is "eleven billion, one hundred one million, twelve thousand, twenty-one".