120220022202100 has 72 divisors (see below), whose sum is σ = 270157036452408. Its totient is φ = 46407233932800.

The previous prime is 120220022202097. The next prime is 120220022202107. The reversal of 120220022202100 is 1202220022021.

It can be written as a sum of positive squares in 12 ways, for example, as 85263690339556 + 34956331862544 = 9233834^2 + 5912388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220022202107) 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, 185603119 + ... + 186249718.

It is an arithmetic number, because the mean of its divisors is an integer number (3752181061839).

Almost surely, 2^{120220022202100} is an apocalyptic number.

120220022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220022202100 is an abundant number, since it is smaller than the sum of its proper divisors (149937014250308).

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

120220022202100 is a wasteful number, since it uses less digits than its factorization.

120220022202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371852965 (or 371852958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120220022202100 its reverse (1202220022021), we get a palindrome (121422242224121).

The spelling of 120220022202100 in words is "one hundred twenty trillion, two hundred twenty billion, twenty-two million, two hundred two thousand, one hundred".