21100223210220 has 1152 divisors, whose sum is σ = 86576672931840. Its totient is φ = 4029087744000.

The previous prime is 21100223210173. The next prime is 21100223210267. The reversal of 21100223210220 is 2201232200112.

21100223210220 is a `hidden beast` number, since 2 + 1 + 10 + 0 + 223 + 210 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21100223210173) and next prime (21100223210267).

It is a super-2 number, since 2×21100223210220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21100223210193 and 21100223210202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1373615340 + ... + 1373630700.

It is an arithmetic number, because the mean of its divisors is an integer number (75153361920).

Almost surely, 2^{21100223210220} is an apocalyptic number.

21100223210220 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 21100223210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43288336465920).

21100223210220 is an abundant number, since it is smaller than the sum of its proper divisors (65476449721620).

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

21100223210220 is a wasteful number, since it uses less digits than its factorization.

21100223210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15587 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21100223210220 its reverse (2201232200112), we get a palindrome (23301455410332).

The spelling of 21100223210220 in words is "twenty-one trillion, one hundred billion, two hundred twenty-three million, two hundred ten thousand, two hundred twenty".