101011111120211 has 8 divisors (see below), whose sum is σ = 101232240989760. Its totient is φ = 100790070191872.

The previous prime is 101011111120163. The next prime is 101011111120223. The reversal of 101011111120211 is 112021111110101.

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

It is a cyclic number.

It is not a de Polignac number, because 101011111120211 - 2³⁴ = 100993931251027 is a prime.

It is a super-2 number, since 2×101011111120211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011111120411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19961150 + ... + 24504483.

It is an arithmetic number, because the mean of its divisors is an integer number (12654030123720).

Almost surely, 2^{101011111120211} is an apocalyptic number.

101011111120211 is a deficient number, since it is larger than the sum of its proper divisors (221129869549).

101011111120211 is an equidigital number, since it uses as much as digits as its factorization.

101011111120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44470605.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101011111120211 its reverse (112021111110101), we get a palindrome (213032222230312).

The spelling of 101011111120211 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred twenty thousand, two hundred eleven".