120220010221201 has 24 divisors (see below), whose sum is σ = 133616975322600. Its totient is φ = 108075496320000.

The previous prime is 120220010221163. The next prime is 120220010221249. The reversal of 120220010221201 is 102122010022021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51396726060801 + 68823284160400 = 7169151^2 + 8295980^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120220010221201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120220010221501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240800 + ... + 15667201.

It is an arithmetic number, because the mean of its divisors is an integer number (5567373971775).

Almost surely, 2^{120220010221201} is an apocalyptic number.

120220010221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120220010221201 is a deficient number, since it is larger than the sum of its proper divisors (13396965101399).

120220010221201 is a wasteful number, since it uses less digits than its factorization.

120220010221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17908641 (or 17908630 counting only the distinct ones).

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

Adding to 120220010221201 its reverse (102122010022021), we get a palindrome (222342020243222).

The spelling of 120220010221201 in words is "one hundred twenty trillion, two hundred twenty billion, ten million, two hundred twenty-one thousand, two hundred one".