101111212111 has 32 divisors (see below), whose sum is σ = 130727116800. Its totient is φ = 76008011904.

The previous prime is 101111212099. The next prime is 101111212121. The reversal of 101111212111 is 111212111101.

It is a cyclic number.

It is not a de Polignac number, because 101111212111 - 2⁹ = 101111211599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101111212091 and 101111212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149746 + ... + 473968.

It is an arithmetic number, because the mean of its divisors is an integer number (4085222400).

Almost surely, 2^101111212111 is an apocalyptic number.

101111212111 is a deficient number, since it is larger than the sum of its proper divisors (29615904689).

101111212111 is a wasteful number, since it uses less digits than its factorization.

101111212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324415.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101111212111 its reverse (111212111101), we get a palindrome (212323323212).

It can be divided in two parts, 101 and 111212111, that multiplied together give a palindrome (11232423211).

The spelling of 101111212111 in words is "one hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred eleven".