10220121211200 has 336 divisors, whose sum is σ = 34704153583680. Its totient is φ = 2630066503680.

The previous prime is 10220121211187. The next prime is 10220121211217. The reversal of 10220121211200 is 211212102201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220121211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294112227 + ... + 294146973.

It is an arithmetic number, because the mean of its divisors is an integer number (103286171380).

Almost surely, 2^{10220121211200} is an apocalyptic number.

10220121211200 is a gapful number since it is divisible by the number (10) 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 10220121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352076791840).

10220121211200 is an abundant number, since it is smaller than the sum of its proper divisors (24484032372480).

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

10220121211200 is a wasteful number, since it uses less digits than its factorization.

10220121211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36914 (or 36899 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10220121211200 its reverse (211212102201), we get a palindrome (10431333313401).

The spelling of 10220121211200 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".