10221100011100 has 36 divisors (see below), whose sum is σ = 24196131301608. Its totient is φ = 3716763640000.

The previous prime is 10221100011053. The next prime is 10221100011151. The reversal of 10221100011100 is 111000112201.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4645953451 + ... + 4645955650.

It is an arithmetic number, because the mean of its divisors is an integer number (672114758378).

Almost surely, 2^{10221100011100} is an apocalyptic number.

10221100011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221100011100 is an abundant number, since it is smaller than the sum of its proper divisors (13975031290508).

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

10221100011100 is a wasteful number, since it uses less digits than its factorization.

10221100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291909126 (or 9291909119 counting only the distinct ones).

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

Adding to 10221100011100 its reverse (111000112201), we get a palindrome (10332100123301).

The spelling of 10221100011100 in words is "ten trillion, two hundred twenty-one billion, one hundred million, eleven thousand, one hundred".