2000011101102 has 128 divisors (see below), whose sum is σ = 5262684825600. Its totient is φ = 550872499968.

The previous prime is 2000011101089. The next prime is 2000011101107. The reversal of 2000011101102 is 2011011100002.

It is a happy number.

It is a super-2 number, since 2×2000011101102² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000011101107) 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, 6951418 + ... + 7233410.

It is an arithmetic number, because the mean of its divisors is an integer number (41114725200).

Almost surely, 2^{2000011101102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000011101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631342412800).

2000011101102 is an abundant number, since it is smaller than the sum of its proper divisors (3262673724498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000011101102 is a wasteful number, since it uses less digits than its factorization.

2000011101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282687 (or 282681 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2000011101102 its reverse (2011011100002), we get a palindrome (4011022201104).

The spelling of 2000011101102 in words is "two trillion, eleven million, one hundred one thousand, one hundred two".