220001010002120 has 192 divisors, whose sum is σ = 518919218521200. Its totient is φ = 83937089617920.

The previous prime is 220001010002093. The next prime is 220001010002149. The reversal of 220001010002120 is 21200010100022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 123611302635844 + 96389707366276 = 11118062^2 + 9817826^2 .

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, 28230588944 + ... + 28230596736.

Almost surely, 2^{220001010002120} is an apocalyptic number.

220001010002120 is a gapful number since it is divisible by the number (20) 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 220001010002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459609260600).

220001010002120 is an abundant number, since it is smaller than the sum of its proper divisors (298918208519080).

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

220001010002120 is a wasteful number, since it uses less digits than its factorization.

220001010002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220001010002120 its reverse (21200010100022), we get a palindrome (241201020102142).

The spelling of 220001010002120 in words is "two hundred twenty trillion, one billion, ten million, two thousand, one hundred twenty".