101111011012101 has 8 divisors (see below), whose sum is σ = 135707493809344. Its totient is φ = 66960934444800.

The previous prime is 101111011012069. The next prime is 101111011012111. The reversal of 101111011012101 is 101210110111101.

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

It is not a de Polignac number, because 101111011012101 - 2⁵ = 101111011012069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011012111) 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, 111601556956 + ... + 111601557861.

It is an arithmetic number, because the mean of its divisors is an integer number (16963436726168).

Almost surely, 2^{101111011012101} is an apocalyptic number.

It is an amenable number.

101111011012101 is a deficient number, since it is larger than the sum of its proper divisors (34596482797243).

101111011012101 is a wasteful number, since it uses less digits than its factorization.

101111011012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223203114971.

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

Adding to 101111011012101 its reverse (101210110111101), we get a palindrome (202321121123202).

It can be divided in two parts, 10111101 and 1012101, that multiplied together give a palindrome (10233455433201).

The spelling of 101111011012101 in words is "one hundred one trillion, one hundred eleven billion, eleven million, twelve thousand, one hundred one".