211200101120001 has 32 divisors (see below), whose sum is σ = 330366924943360. Its totient is φ = 117525801204864.

The previous prime is 211200101119961. The next prime is 211200101120003. The reversal of 211200101120001 is 100021101002112.

It is not a de Polignac number, because 211200101120001 - 2¹¹ = 211200101117953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211200101120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871835515 + ... + 872077728.

It is an arithmetic number, because the mean of its divisors is an integer number (10323966404480).

Almost surely, 2^{211200101120001} is an apocalyptic number.

211200101120001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211200101120001 is a deficient number, since it is larger than the sum of its proper divisors (119166823823359).

211200101120001 is a wasteful number, since it uses less digits than its factorization.

211200101120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743913405.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211200101120001 its reverse (100021101002112), we get a palindrome (311221202122113).

The spelling of 211200101120001 in words is "two hundred eleven trillion, two hundred billion, one hundred one million, one hundred twenty thousand, one".