220121002101000 has 2304 divisors, whose sum is σ = 964751624928000. Its totient is φ = 41074532352000.

The previous prime is 220121002100981. The next prime is 220121002101019. The reversal of 220121002101000 is 101200121022.

It is an interprime number because it is at equal distance from previous prime (220121002100981) and next prime (220121002101019).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 28777745176 + ... + 28777752824.

It is an arithmetic number, because the mean of its divisors is an integer number (418729003875).

Almost surely, 2^{220121002101000} is an apocalyptic number.

220121002101000 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 220121002101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482375812464000).

220121002101000 is an abundant number, since it is smaller than the sum of its proper divisors (744630622827000).

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

220121002101000 is a wasteful number, since it uses less digits than its factorization.

220121002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220121002101000 its reverse (101200121022), we get a palindrome (220222202222022).

The spelling of 220121002101000 in words is "two hundred twenty trillion, one hundred twenty-one billion, two million, one hundred one thousand".