221210100111000 has 3072 divisors, whose sum is σ = 983575823892480. Its totient is φ = 40642560000000.

The previous prime is 221210100110983. The next prime is 221210100111059. The reversal of 221210100111000 is 111001012122.

It is a super-2 number, since 2×221210100111000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 65816749320 + ... + 65816752680.

It is an arithmetic number, because the mean of its divisors is an integer number (320174421840).

Almost surely, 2^{221210100111000} is an apocalyptic number.

221210100111000 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 221210100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491787911946240).

221210100111000 is an abundant number, since it is smaller than the sum of its proper divisors (762365723781480).

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

221210100111000 is a wasteful number, since it uses less digits than its factorization.

221210100111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221210100111000 its reverse (111001012122), we get a palindrome (221321101123122).

The spelling of 221210100111000 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred million, one hundred eleven thousand".