101101010112111 has 32 divisors (see below), whose sum is σ = 138394968611328. Its totient is φ = 65614334163840.

The previous prime is 101101010111999. The next prime is 101101010112121. The reversal of 101101010112111 is 111211010101101.

It is not a de Polignac number, because 101101010112111 - 2⁹ = 101101010111599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101010112121) 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, 378469485 + ... + 378736521.

It is an arithmetic number, because the mean of its divisors is an integer number (4324842769104).

Almost surely, 2^{101101010112111} is an apocalyptic number.

101101010112111 is a deficient number, since it is larger than the sum of its proper divisors (37293958499217).

101101010112111 is a wasteful number, since it uses less digits than its factorization.

101101010112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276831.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101101010112111 its reverse (111211010101101), we get a palindrome (212312020213212).

The spelling of 101101010112111 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred twelve thousand, one hundred eleven".