221111102011100 has 144 divisors (see below), whose sum is σ = 557838488051712. Its totient is φ = 74509670672640.

The previous prime is 221111102011081. The next prime is 221111102011109. The reversal of 221111102011100 is 1110201111122.

221111102011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221111102011109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110079 + ... + 21134678.

It is an arithmetic number, because the mean of its divisors is an integer number (3873878389248).

Almost surely, 2^{221111102011100} is an apocalyptic number.

221111102011100 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 221111102011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278919244025856).

221111102011100 is an abundant number, since it is smaller than the sum of its proper divisors (336727386040612).

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

221111102011100 is a wasteful number, since it uses less digits than its factorization.

221111102011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23245012 (or 23245005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 221111102011100 its reverse (1110201111122), we get a palindrome (222221303122222).

The spelling of 221111102011100 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred two million, eleven thousand, one hundred".