211200111202101 has 32 divisors (see below), whose sum is σ = 337168676118528. Its totient is φ = 115049513747520.

The previous prime is 211200111202049. The next prime is 211200111202109. The reversal of 211200111202101 is 101202111002112.

It is a happy number.

It is not a de Polignac number, because 211200111202101 - 2¹⁷ = 211200111071029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200111202109) 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, 2421032010 + ... + 2421119243.

It is an arithmetic number, because the mean of its divisors is an integer number (10536521128704).

Almost surely, 2^{211200111202101} is an apocalyptic number.

211200111202101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211200111202101 is a deficient number, since it is larger than the sum of its proper divisors (125968564916427).

211200111202101 is a wasteful number, since it uses less digits than its factorization.

211200111202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842151361.

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

Adding to 211200111202101 its reverse (101202111002112), we get a palindrome (312402222204213).

The spelling of 211200111202101 in words is "two hundred eleven trillion, two hundred billion, one hundred eleven million, two hundred two thousand, one hundred one".