11101011002121 has 32 divisors (see below), whose sum is σ = 15235648581888. Its totient is φ = 7187681894400.

The previous prime is 11101011002117. The next prime is 11101011002173. The reversal of 11101011002121 is 12120011010111.

It is not a de Polignac number, because 11101011002121 - 2² = 11101011002117 is a prime.

It is a super-2 number, since 2×11101011002121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11101011002097 and 11101011002106.

It is not an unprimeable number, because it can be changed into a prime (11101011002821) 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, 1649940 + ... + 4992426.

It is an arithmetic number, because the mean of its divisors is an integer number (476114018184).

Almost surely, 2^{11101011002121} is an apocalyptic number.

It is an amenable number.

11101011002121 is a deficient number, since it is larger than the sum of its proper divisors (4134637579767).

11101011002121 is a wasteful number, since it uses less digits than its factorization.

11101011002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342801.

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

Adding to 11101011002121 its reverse (12120011010111), we get a palindrome (23221022012232).

The spelling of 11101011002121 in words is "eleven trillion, one hundred one billion, eleven million, two thousand, one hundred twenty-one".