2011021102101 has 32 divisors (see below), whose sum is σ = 2993315973120. Its totient is φ = 1190389536000.

The previous prime is 2011021102039. The next prime is 2011021102109. The reversal of 2011021102101 is 1012011201102.

It is not a de Polignac number, because 2011021102101 - 2²² = 2011016907797 is a prime.

It is a super-2 number, since 2×2011021102101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011021102109) 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 31 ways as a sum of consecutive naturals, for example, 38004180 + ... + 38057058.

It is an arithmetic number, because the mean of its divisors is an integer number (93541124160).

Almost surely, 2^{2011021102101} is an apocalyptic number.

It is an amenable number.

2011021102101 is a deficient number, since it is larger than the sum of its proper divisors (982294871019).

2011021102101 is a wasteful number, since it uses less digits than its factorization.

2011021102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79737.

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

Adding to 2011021102101 its reverse (1012011201102), we get a palindrome (3023032303203).

Subtracting from 2011021102101 its reverse (1012011201102), we obtain a palindrome (999009900999).

The spelling of 2011021102101 in words is "two trillion, eleven billion, twenty-one million, one hundred two thousand, one hundred one".