220121010000000 has 1024 divisors, whose sum is σ = 813934010073600. Its totient is φ = 58564800000000.

The previous prime is 220121009999993. The next prime is 220121010000013. The reversal of 220121010000000 is 10121022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189269999419 + ... + 189270000581.

Almost surely, 2^{220121010000000} is an apocalyptic number.

220121010000000 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 220121010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406967005036800).

220121010000000 is an abundant number, since it is smaller than the sum of its proper divisors (593813000073600).

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

220121010000000 is an frugal number, since it uses more digits than its factorization.

220121010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220121010000000 its reverse (10121022), we get a palindrome (220121020121022).

The spelling of 220121010000000 in words is "two hundred twenty trillion, one hundred twenty-one billion, ten million", and thus it is an aban number.