2201101212100 has 144 divisors (see below), whose sum is σ = 5812315488000. Its totient is φ = 721851567360.

The previous prime is 2201101212091. The next prime is 2201101212131. The reversal of 2201101212100 is 12121011022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606145 + ... + 2183944.

It is an arithmetic number, because the mean of its divisors is an integer number (40363302000).

Almost surely, 2^{2201101212100} is an apocalyptic number.

2201101212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201101212100 is an abundant number, since it is smaller than the sum of its proper divisors (3611214275900).

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

2201101212100 is a wasteful number, since it uses less digits than its factorization.

2201101212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790147 (or 2790126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2201101212100 its reverse (12121011022), we get a palindrome (2213222223122).

The spelling of 2201101212100 in words is "two trillion, two hundred one billion, one hundred one million, two hundred twelve thousand, one hundred".