21110222002100 has 288 divisors, whose sum is σ = 60143257251840. Its totient is φ = 6230955456000.

The previous prime is 21110222002087. The next prime is 21110222002139. The reversal of 21110222002100 is 120022201112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374060885 + ... + 374117315.

Almost surely, 2^{21110222002100} is an apocalyptic number.

21110222002100 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 21110222002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30071628625920).

21110222002100 is an abundant number, since it is smaller than the sum of its proper divisors (39033035249740).

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

21110222002100 is a wasteful number, since it uses less digits than its factorization.

21110222002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59039 (or 59032 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21110222002100 its reverse (120022201112), we get a palindrome (21230244203212).

The spelling of 21110222002100 in words is "twenty-one trillion, one hundred ten billion, two hundred twenty-two million, two thousand, one hundred".