101101210211111 has 16 divisors (see below), whose sum is σ = 111962494850688. Its totient is φ = 90518894162400.

The previous prime is 101101210211077. The next prime is 101101210211171. The reversal of 101101210211111 is 111112012101101.

It is not a de Polignac number, because 101101210211111 - 2²⁶ = 101101143102247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101210211171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11350820 + ... + 18194601.

It is an arithmetic number, because the mean of its divisors is an integer number (6997655928168).

Almost surely, 2^{101101210211111} is an apocalyptic number.

101101210211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101210211111 is a deficient number, since it is larger than the sum of its proper divisors (10861284639577).

101101210211111 is a wasteful number, since it uses less digits than its factorization.

101101210211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29550142.

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

Adding to 101101210211111 its reverse (111112012101101), we get a palindrome (212213222312212).

The spelling of 101101210211111 in words is "one hundred one trillion, one hundred one billion, two hundred ten million, two hundred eleven thousand, one hundred eleven".