11211220121101 has 32 divisors (see below), whose sum is σ = 15538402123776. Its totient is φ = 7803884952000.

The previous prime is 11211220121071. The next prime is 11211220121131. The reversal of 11211220121101 is 10112102211211.

It is an interprime number because it is at equal distance from previous prime (11211220121071) and next prime (11211220121131).

It is a cyclic number.

It is not a de Polignac number, because 11211220121101 - 2¹⁷ = 11211219990029 is a prime.

It is a super-2 number, since 2×11211220121101² (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 (11211220121131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180614455 + ... + 180676516.

It is an arithmetic number, because the mean of its divisors is an integer number (485575066368).

Almost surely, 2^{11211220121101} is an apocalyptic number.

11211220121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211220121101 is a deficient number, since it is larger than the sum of its proper divisors (4327182002675).

11211220121101 is a wasteful number, since it uses less digits than its factorization.

11211220121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361291033.

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

Adding to 11211220121101 its reverse (10112102211211), we get a palindrome (21323322332312).

The spelling of 11211220121101 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, one hundred one".