2011010021101 has 8 divisors (see below), whose sum is σ = 2016033937344. Its totient is φ = 2005988287680.

The previous prime is 2011010020997. The next prime is 2011010021123. The reversal of 2011010021101 is 1011200101102.

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 2011010021101 - 2²⁵ = 2010976466669 is a prime.

It is a super-2 number, since 2×2011010021101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011010021131) 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, 1307016 + ... + 2393806.

It is an arithmetic number, because the mean of its divisors is an integer number (252004242168).

Almost surely, 2^{2011010021101} is an apocalyptic number.

It is an amenable number.

2011010021101 is a deficient number, since it is larger than the sum of its proper divisors (5023916243).

2011010021101 is a wasteful number, since it uses less digits than its factorization.

2011010021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091411.

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

Adding to 2011010021101 its reverse (1011200101102), we get a palindrome (3022210122203).

The spelling of 2011010021101 in words is "two trillion, eleven billion, ten million, twenty-one thousand, one hundred one".