101101121012111 has 16 divisors (see below), whose sum is σ = 112306559447040. Its totient is φ = 90246342170880.

The previous prime is 101101121012093. The next prime is 101101121012117. The reversal of 101101121012111 is 111210121101101.

It is a cyclic number.

It is not a de Polignac number, because 101101121012111 - 2³⁸ = 100826243105167 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 (101101121012117) 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, 372906581 + ... + 373177598.

It is an arithmetic number, because the mean of its divisors is an integer number (7019159965440).

Almost surely, 2^{101101121012111} is an apocalyptic number.

101101121012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101121012111 is a deficient number, since it is larger than the sum of its proper divisors (11205438434929).

101101121012111 is a wasteful number, since it uses less digits than its factorization.

101101121012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746084414.

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

Adding to 101101121012111 its reverse (111210121101101), we get a palindrome (212311242113212).

The spelling of 101101121012111 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, one hundred eleven".