221010101001100 has 144 divisors (see below), whose sum is σ = 482314471460640. Its totient is φ = 87903864576000.

The previous prime is 221010101001097. The next prime is 221010101001113. The reversal of 221010101001100 is 1100101010122.

221010101001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 38098618200 + ... + 38098624000.

It is an arithmetic number, because the mean of its divisors is an integer number (3349406051810).

Almost surely, 2^{221010101001100} is an apocalyptic number.

221010101001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010101001100 is an abundant number, since it is smaller than the sum of its proper divisors (261304370459540).

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

221010101001100 is a wasteful number, since it uses less digits than its factorization.

221010101001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9068 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 221010101001100 its reverse (1100101010122), we get a palindrome (222110202011222).

The spelling of 221010101001100 in words is "two hundred twenty-one trillion, ten billion, one hundred one million, one thousand, one hundred".