21101100121101 has 192 divisors, whose sum is σ = 39523983319296. Its totient is φ = 9836254310400.

The previous prime is 21101100121099. The next prime is 21101100121243. The reversal of 21101100121101 is 10112100110112.

It is not a de Polignac number, because 21101100121101 - 2¹ = 21101100121099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101100121301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 927876591 + ... + 927899331.

It is an arithmetic number, because the mean of its divisors is an integer number (205854079788).

Almost surely, 2^{21101100121101} is an apocalyptic number.

21101100121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21101100121101 is a deficient number, since it is larger than the sum of its proper divisors (18422883198195).

21101100121101 is a wasteful number, since it uses less digits than its factorization.

21101100121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24012 (or 24005 counting only the distinct ones).

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

Adding to 21101100121101 its reverse (10112100110112), we get a palindrome (31213200231213).

The spelling of 21101100121101 in words is "twenty-one trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred one".