21001011101121 has 32 divisors (see below), whose sum is σ = 28784017036800. Its totient is φ = 13616085740544.

The previous prime is 21001011101113. The next prime is 21001011101143. The reversal of 21001011101121 is 12110111010012.

It is not a de Polignac number, because 21001011101121 - 2³ = 21001011101113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21001011101097 and 21001011101106.

It is not an unprimeable number, because it can be changed into a prime (21001011106121) 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, 2121576 + ... + 6819318.

It is an arithmetic number, because the mean of its divisors is an integer number (899500532400).

Almost surely, 2^{21001011101121} is an apocalyptic number.

It is an amenable number.

21001011101121 is a deficient number, since it is larger than the sum of its proper divisors (7783005935679).

21001011101121 is a wasteful number, since it uses less digits than its factorization.

21001011101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698105.

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

Adding to 21001011101121 its reverse (12110111010012), we get a palindrome (33111122111133).

The spelling of 21001011101121 in words is "twenty-one trillion, one billion, eleven million, one hundred one thousand, one hundred twenty-one".