21111221102100 has 144 divisors (see below), whose sum is σ = 62882392977600. Its totient is φ = 5464432005120.

The previous prime is 21111221102099. The next prime is 21111221102131. The reversal of 21111221102100 is 120112211112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21111221102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2381316 + ... + 6920484.

Almost surely, 2^{21111221102100} is an apocalyptic number.

21111221102100 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 21111221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31441196488800).

21111221102100 is an abundant number, since it is smaller than the sum of its proper divisors (41771171875500).

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

21111221102100 is a wasteful number, since it uses less digits than its factorization.

21111221102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539642 (or 4539635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21111221102100 its reverse (120112211112), we get a palindrome (21231333313212).

The spelling of 21111221102100 in words is "twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred two thousand, one hundred".