21011111100121 has 8 divisors (see below), whose sum is σ = 21127715606088. Its totient is φ = 20894512320000.

The previous prime is 21011111100101. The next prime is 21011111100163. The reversal of 21011111100121 is 12100111111012.

It can be written as a sum of positive squares in 4 ways, for example, as 1702996290121 + 19308114810000 = 1304989^2 + 4394100^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21011111100121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21011111100101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6035721 + ... + 8857321.

It is an arithmetic number, because the mean of its divisors is an integer number (2640964450761).

Almost surely, 2^{21011111100121} is an apocalyptic number.

It is an amenable number.

21011111100121 is a deficient number, since it is larger than the sum of its proper divisors (116604505967).

21011111100121 is a wasteful number, since it uses less digits than its factorization.

21011111100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862923.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 21011111100121 its reverse (12100111111012), we get a palindrome (33111222211133).

The spelling of 21011111100121 in words is "twenty-one trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred twenty-one".