2011012101021 has 64 divisors (see below), whose sum is σ = 3519377971200. Its totient is φ = 989571686400.

The previous prime is 2011012101013. The next prime is 2011012101037. The reversal of 2011012101021 is 1201012101102.

It is not a de Polignac number, because 2011012101021 - 2³ = 2011012101013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011012100988 and 2011012101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012101061) 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 63 ways as a sum of consecutive naturals, for example, 40709625 + ... + 40758993.

It is an arithmetic number, because the mean of its divisors is an integer number (54990280800).

Almost surely, 2^{2011012101021} is an apocalyptic number.

2011012101021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011012101021 is a deficient number, since it is larger than the sum of its proper divisors (1508365870179).

2011012101021 is a wasteful number, since it uses less digits than its factorization.

2011012101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58690.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011012101021 its reverse (1201012101102), we get a palindrome (3212024202123).

The spelling of 2011012101021 in words is "two trillion, eleven billion, twelve million, one hundred one thousand, twenty-one".