221212020110000 has 200 divisors, whose sum is σ = 542591018095104. Its totient is φ = 87333120000000.

The previous prime is 221212020109961. The next prime is 221212020110071. The reversal of 221212020110000 is 11020212122.

221212020110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×221212020110000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244658750 + ... + 245561250.

Almost surely, 2^{221212020110000} is an apocalyptic number.

221212020110000 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 221212020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271295509047552).

221212020110000 is an abundant number, since it is smaller than the sum of its proper divisors (321378997985104).

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

221212020110000 is a wasteful number, since it uses less digits than its factorization.

221212020110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902849 (or 902828 counting only the distinct ones).

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

Adding to 221212020110000 its reverse (11020212122), we get a palindrome (221223040322122).

The spelling of 221212020110000 in words is "two hundred twenty-one trillion, two hundred twelve billion, twenty million, one hundred ten thousand".