10120011210011 has 16 divisors (see below), whose sum is σ = 10486756990080. Its totient is φ = 9760955952000.

The previous prime is 10120011209989. The next prime is 10120011210017. The reversal of 10120011210011 is 11001211002101.

It is a cyclic number.

It is not a de Polignac number, because 10120011210011 - 2¹⁴ = 10120011193627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120011209974 and 10120011210001.

It is not an unprimeable number, because it can be changed into a prime (10120011210017) 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, 4107566 + ... + 6091971.

It is an arithmetic number, because the mean of its divisors is an integer number (655422311880).

Almost surely, 2^{10120011210011} is an apocalyptic number.

10120011210011 is a deficient number, since it is larger than the sum of its proper divisors (366745780069).

10120011210011 is a wasteful number, since it uses less digits than its factorization.

10120011210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199914.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10120011210011 its reverse (11001211002101), we get a palindrome (21121222212112).

The spelling of 10120011210011 in words is "ten trillion, one hundred twenty billion, eleven million, two hundred ten thousand, eleven".