21120011121101 has 16 divisors (see below), whose sum is σ = 21699357202608. Its totient is φ = 20549992896000.

The previous prime is 21120011121073. The next prime is 21120011121107. The reversal of 21120011121101 is 10112111002112.

It can be written as a sum of positive squares in 8 ways, for example, as 949591780900 + 20170419340201 = 974470^2 + 4491149^2 .

It is not a de Polignac number, because 21120011121101 - 2¹⁰ = 21120011120077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120011121107) 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, 3128270 + ... + 7212911.

It is an arithmetic number, because the mean of its divisors is an integer number (1356209825163).

Almost surely, 2^{21120011121101} is an apocalyptic number.

It is an amenable number.

21120011121101 is a deficient number, since it is larger than the sum of its proper divisors (579346081507).

21120011121101 is a wasteful number, since it uses less digits than its factorization.

21120011121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341632.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21120011121101 its reverse (10112111002112), we get a palindrome (31232122123213).

The spelling of 21120011121101 in words is "twenty-one trillion, one hundred twenty billion, eleven million, one hundred twenty-one thousand, one hundred one".