10120101101111 has 8 divisors (see below), whose sum is σ = 10195564890000. Its totient is φ = 10044660420288.

The previous prime is 10120101101009. The next prime is 10120101101177. The reversal of 10120101101111 is 11110110102101.

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 a de Polignac number, because none of the positive numbers 2^k-10120101101111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120101101092 and 10120101101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120101101191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4897361 + ... + 6650138.

It is an arithmetic number, because the mean of its divisors is an integer number (1274445611250).

Almost surely, 2^{10120101101111} is an apocalyptic number.

10120101101111 is a deficient number, since it is larger than the sum of its proper divisors (75463788889).

10120101101111 is a wasteful number, since it uses less digits than its factorization.

10120101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554033.

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

Adding to 10120101101111 its reverse (11110110102101), we get a palindrome (21230211203212).

The spelling of 10120101101111 in words is "ten trillion, one hundred twenty billion, one hundred one million, one hundred one thousand, one hundred eleven".