21112101202101 has 64 divisors (see below), whose sum is σ = 34924219545600. Its totient is φ = 11046600135936.

The previous prime is 21112101202009. The next prime is 21112101202121. The reversal of 21112101202101 is 10120210121112.

It is a happy number.

It is not a de Polignac number, because 21112101202101 - 2¹⁰ = 21112101201077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112101202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44808735 + ... + 45277443.

It is an arithmetic number, because the mean of its divisors is an integer number (545690930400).

Almost surely, 2^{21112101202101} is an apocalyptic number.

21112101202101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21112101202101 is a deficient number, since it is larger than the sum of its proper divisors (13812118343499).

21112101202101 is a wasteful number, since it uses less digits than its factorization.

21112101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470058.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21112101202101 its reverse (10120210121112), we get a palindrome (31232311323213).

It can be divided in two parts, 21112 and 101202101, that multiplied together give a palindrome (2136578756312).

The spelling of 21112101202101 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, two hundred two thousand, one hundred one".