11021121212101 has 96 divisors (see below), whose sum is σ = 15377754276864. Its totient is φ = 7681760064000.

The previous prime is 11021121212089. The next prime is 11021121212191. The reversal of 11021121212101 is 10121212112011.

It is not a de Polignac number, because 11021121212101 - 2¹¹ = 11021121210053 is a prime.

It is a super-2 number, since 2×11021121212101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021121212191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52163791 + ... + 52374643.

It is an arithmetic number, because the mean of its divisors is an integer number (160184940384).

Almost surely, 2^{11021121212101} is an apocalyptic number.

11021121212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11021121212101 is a deficient number, since it is larger than the sum of its proper divisors (4356633064763).

11021121212101 is a wasteful number, since it uses less digits than its factorization.

11021121212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211043 (or 211032 counting only the distinct ones).

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

Adding to 11021121212101 its reverse (10121212112011), we get a palindrome (21142333324112).

It can be divided in two parts, 110211 and 21212101, that added together give a palindrome (21322312).

The spelling of 11021121212101 in words is "eleven trillion, twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".