220100002012100 has 72 divisors (see below), whose sum is σ = 546920398812480. Its totient is φ = 75314600622720.

The previous prime is 220100002012063. The next prime is 220100002012223. The reversal of 220100002012100 is 1210200001022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308512634 + ... + 309225233.

Almost surely, 2^{220100002012100} is an apocalyptic number.

220100002012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100002012100 is an abundant number, since it is smaller than the sum of its proper divisors (326820396800380).

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

220100002012100 is a wasteful number, since it uses less digits than its factorization.

220100002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617738397 (or 617738390 counting only the distinct ones).

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

Adding to 220100002012100 its reverse (1210200001022), we get a palindrome (221310202013122).

The spelling of 220100002012100 in words is "two hundred twenty trillion, one hundred billion, two million, twelve thousand, one hundred".