201102220001100 has 144 divisors (see below), whose sum is σ = 634793491866240. Its totient is φ = 48748846156800.

The previous prime is 201102220001057. The next prime is 201102220001141. The reversal of 201102220001100 is 1100022201102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 48357844 + ... + 52351556.

It is an arithmetic number, because the mean of its divisors is an integer number (4408288137960).

Almost surely, 2^{201102220001100} is an apocalyptic number.

201102220001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102220001100 is an abundant number, since it is smaller than the sum of its proper divisors (433691271865140).

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

201102220001100 is a wasteful number, since it uses less digits than its factorization.

201102220001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009000 (or 4008993 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201102220001100 its reverse (1100022201102), we get a palindrome (202202242202202).

The spelling of 201102220001100 in words is "two hundred one trillion, one hundred two billion, two hundred twenty million, one thousand, one hundred".