120101110000211 has 16 divisors (see below), whose sum is σ = 127276128258048. Its totient is φ = 112938375043200.

The previous prime is 120101110000189. The next prime is 120101110000253. The reversal of 120101110000211 is 112000011101021.

It is a cyclic number.

It is not a de Polignac number, because 120101110000211 - 2¹⁸ = 120101109738067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120101110000192 and 120101110000201.

It is not an unprimeable number, because it can be changed into a prime (120101110000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114414416 + ... + 115459346.

It is an arithmetic number, because the mean of its divisors is an integer number (7954758016128).

Almost surely, 2^{120101110000211} is an apocalyptic number.

120101110000211 is a deficient number, since it is larger than the sum of its proper divisors (7175018257837).

120101110000211 is a wasteful number, since it uses less digits than its factorization.

120101110000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050802.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 120101110000211 its reverse (112000011101021), we get a palindrome (232101121101232).

The spelling of 120101110000211 in words is "one hundred twenty trillion, one hundred one billion, one hundred ten million, two hundred eleven", and thus it is an aban number.