10220121100200 has 192 divisors, whose sum is σ = 34568558899200. Its totient is φ = 2477177337600.

The previous prime is 10220121100081. The next prime is 10220121100201. The reversal of 10220121100200 is 200112102201.

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

It is not an unprimeable number, because it can be changed into a prime (10220121100201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38961081 + ... + 39222519.

It is an arithmetic number, because the mean of its divisors is an integer number (180044577600).

Almost surely, 2^{10220121100200} is an apocalyptic number.

10220121100200 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 10220121100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284279449600).

10220121100200 is an abundant number, since it is smaller than the sum of its proper divisors (24348437799000).

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

10220121100200 is a wasteful number, since it uses less digits than its factorization.

10220121100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267392 (or 267383 counting only the distinct ones).

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

Adding to 10220121100200 its reverse (200112102201), we get a palindrome (10420233202401).

It can be divided in two parts, 1022012 and 1100200, that added together give a palindrome (2122212).

The spelling of 10220121100200 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand, two hundred".