21121100101101 has 256 divisors, whose sum is σ = 39536621494272. Its totient is φ = 9676305100800.

The previous prime is 21121100101043. The next prime is 21121100101181. The reversal of 21121100101101 is 10110100112112.

It is not a de Polignac number, because 21121100101101 - 2⁹ = 21121100100589 is a prime.

It is a super-2 number, since 2×21121100101101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121100101181) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4588548666 + ... + 4588553268.

It is an arithmetic number, because the mean of its divisors is an integer number (154439927712).

Almost surely, 2^{21121100101101} is an apocalyptic number.

21121100101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21121100101101 is a deficient number, since it is larger than the sum of its proper divisors (18415521393171).

21121100101101 is a wasteful number, since it uses less digits than its factorization.

21121100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412.

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

Adding to 21121100101101 its reverse (10110100112112), we get a palindrome (31231200213213).

The spelling of 21121100101101 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred million, one hundred one thousand, one hundred one".