2101001121011 has 8 divisors (see below), whose sum is σ = 2381701675920. Its totient is φ = 1837312720992.

The previous prime is 2101001121007. The next prime is 2101001121091. The reversal of 2101001121011 is 1101211001012.

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 2101001121011 - 2² = 2101001121007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101001120983 and 2101001121001.

It is not an unprimeable number, because it can be changed into a prime (2101001121091) 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, 4253038460 + ... + 4253038953.

It is an arithmetic number, because the mean of its divisors is an integer number (297712709490).

Almost surely, 2^{2101001121011} is an apocalyptic number.

2101001121011 is a deficient number, since it is larger than the sum of its proper divisors (280700554909).

2101001121011 is a wasteful number, since it uses less digits than its factorization.

2101001121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506077445.

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

Adding to 2101001121011 its reverse (1101211001012), we get a palindrome (3202212122023).

The spelling of 2101001121011 in words is "two trillion, one hundred one billion, one million, one hundred twenty-one thousand, eleven".