2011001102101 has 8 divisors (see below), whose sum is σ = 2031879780000. Its totient is φ = 1990141400400.

The previous prime is 2011001102063. The next prime is 2011001102153. The reversal of 2011001102101 is 1012011001102.

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 2011001102101 - 2³⁵ = 1976641363733 is a prime.

It is a super-8 number, since 8×2011001102101⁸ (a number of 100 digits) contains 88888888 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001109101) 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, 4530951 + ... + 4954948.

It is an arithmetic number, because the mean of its divisors is an integer number (253984972500).

Almost surely, 2^{2011001102101} is an apocalyptic number.

It is an amenable number.

2011001102101 is a deficient number, since it is larger than the sum of its proper divisors (20878677899).

2011001102101 is a wasteful number, since it uses less digits than its factorization.

2011001102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9488099.

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

Adding to 2011001102101 its reverse (1012011001102), we get a palindrome (3023012103203).

It can be divided in two parts, 2011001102 and 101, that multiplied together give a palindrome (203111111302).

The spelling of 2011001102101 in words is "two trillion, eleven billion, one million, one hundred two thousand, one hundred one".