21111121012101 has 8 divisors (see below), whose sum is σ = 28802769753120. Its totient is φ = 13746776472912.

The previous prime is 21111121012081. The next prime is 21111121012103. The reversal of 21111121012101 is 10121012111112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21111121012101 - 2¹⁷ = 21111120881029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111121012103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81826050306 + ... + 81826050563.

It is an arithmetic number, because the mean of its divisors is an integer number (3600346219140).

Almost surely, 2^{21111121012101} is an apocalyptic number.

It is an amenable number.

21111121012101 is a deficient number, since it is larger than the sum of its proper divisors (7691648741019).

21111121012101 is a wasteful number, since it uses less digits than its factorization.

21111121012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163652100915.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 21111121012101 its reverse (10121012111112), we get a palindrome (31232133123213).

It can be divided in two parts, 2111112 and 1012101, that multiplied together give a palindrome (2136658566312).

The spelling of 21111121012101 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, twelve thousand, one hundred one".