4121220120100 has 72 divisors (see below), whose sum is σ = 9026224237800. Its totient is φ = 1633159756800.

The previous prime is 4121220120079. The next prime is 4121220120179. The reversal of 4121220120100 is 10210221214.

It can be written as a sum of positive squares in 12 ways, for example, as 290486505024 + 3830733615076 = 538968^2 + 1957226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110823510 + ... + 110860690.

It is an arithmetic number, because the mean of its divisors is an integer number (125364225525).

Almost surely, 2^{4121220120100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513112118900).

4121220120100 is an abundant number, since it is smaller than the sum of its proper divisors (4905004117700).

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

4121220120100 is a wasteful number, since it uses less digits than its factorization.

4121220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47473 (or 47466 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 4121220120100 its reverse (10210221214), we get a palindrome (4131430341314).

The spelling of 4121220120100 in words is "four trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty thousand, one hundred".