21121011100101 has 32 divisors (see below), whose sum is σ = 32558108018688. Its totient is φ = 12036712605440.

The previous prime is 21121011100087. The next prime is 21121011100121. The reversal of 21121011100101 is 10100111012112.

It is a cyclic number.

It is not a de Polignac number, because 21121011100101 - 2²⁵ = 21120977545669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121011100121) 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, 16447791 + ... + 17685356.

It is an arithmetic number, because the mean of its divisors is an integer number (1017440875584).

Almost surely, 2^{21121011100101} is an apocalyptic number.

It is an amenable number.

21121011100101 is a deficient number, since it is larger than the sum of its proper divisors (11437096918587).

21121011100101 is a wasteful number, since it uses less digits than its factorization.

21121011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34134281.

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

Adding to 21121011100101 its reverse (10100111012112), we get a palindrome (31221122112213).

It can be divided in two parts, 211210 and 11100101, that added together give a palindrome (11311311).

The spelling of 21121011100101 in words is "twenty-one trillion, one hundred twenty-one billion, eleven million, one hundred thousand, one hundred one".