101120001011111 has 8 divisors (see below), whose sum is σ = 101141166361344. Its totient is φ = 101098836911160.

The previous prime is 101120001011059. The next prime is 101120001011129. The reversal of 101120001011111 is 111110100021101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101120001011111 - 2¹⁸ = 101120000748967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120001011092 and 101120001011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120001014111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171231416 + ... + 171820946.

It is an arithmetic number, because the mean of its divisors is an integer number (12642645795168).

Almost surely, 2^{101120001011111} is an apocalyptic number.

101120001011111 is a deficient number, since it is larger than the sum of its proper divisors (21165350233).

101120001011111 is an equidigital number, since it uses as much as digits as its factorization.

101120001011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625141.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101120001011111 its reverse (111110100021101), we get a palindrome (212230101032212).

The spelling of 101120001011111 in words is "one hundred one trillion, one hundred twenty billion, one million, eleven thousand, one hundred eleven".