21121012001001 has 16 divisors (see below), whose sum is σ = 32338391581440. Its totient is φ = 12126896842320.

The previous prime is 21121012000969. The next prime is 21121012001017. The reversal of 21121012001001 is 10010021012112.

It is not a de Polignac number, because 21121012001001 - 2⁵ = 21121012000969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21121012000001) 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, 16842911655 + ... + 16842912908.

It is an arithmetic number, because the mean of its divisors is an integer number (2021149473840).

Almost surely, 2^{21121012001001} is an apocalyptic number.

It is an amenable number.

21121012001001 is a deficient number, since it is larger than the sum of its proper divisors (11217379580439).

21121012001001 is a wasteful number, since it uses less digits than its factorization.

21121012001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33685824596.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21121012001001 its reverse (10010021012112), we get a palindrome (31131033013113).

The spelling of 21121012001001 in words is "twenty-one trillion, one hundred twenty-one billion, twelve million, one thousand, one".