2101120010011 has 8 divisors (see below), whose sum is σ = 2292148636848. Its totient is φ = 1910094336000.

The previous prime is 2101120009943. The next prime is 2101120010027. The reversal of 2101120010011 is 1100100211012.

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 2101120010011 - 2³⁷ = 1963681056539 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101120010011.

It is not an unprimeable number, because it can be changed into a prime (2101120010411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909531 + ... + 2242651.

It is an arithmetic number, because the mean of its divisors is an integer number (286518579606).

Almost surely, 2^{2101120010011} is an apocalyptic number.

2101120010011 is a deficient number, since it is larger than the sum of its proper divisors (191028626837).

2101120010011 is a wasteful number, since it uses less digits than its factorization.

2101120010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476413.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101120010011 its reverse (1100100211012), we get a palindrome (3201220221023).

The spelling of 2101120010011 in words is "two trillion, one hundred one billion, one hundred twenty million, ten thousand, eleven".