20111102210260 has 72 divisors (see below), whose sum is σ = 43444530491544. Its totient is φ = 7820004487680.

The previous prime is 20111102210191. The next prime is 20111102210261. The reversal of 20111102210260 is 6201220111102.

It can be written as a sum of positive squares in 12 ways, for example, as 4081232282436 + 16029869927824 = 2020206^2 + 4003732^2 .

It is a super-2 number, since 2×20111102210260² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111102210261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30254670 + ... + 30912250.

It is an arithmetic number, because the mean of its divisors is an integer number (603396256827).

Almost surely, 2^{20111102210260} is an apocalyptic number.

20111102210260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111102210260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21722265245772).

20111102210260 is an abundant number, since it is smaller than the sum of its proper divisors (23333428281284).

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

20111102210260 is a wasteful number, since it uses less digits than its factorization.

20111102210260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658781 (or 658742 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 20111102210260 its reverse (6201220111102), we get a palindrome (26312322321362).

The spelling of 20111102210260 in words is "twenty trillion, one hundred eleven billion, one hundred two million, two hundred ten thousand, two hundred sixty".