10211221121100 has 72 divisors (see below), whose sum is σ = 30829008483840. Its totient is φ = 2604601327680.

The previous prime is 10211221121081. The next prime is 10211221121137. The reversal of 10211221121100 is 112112211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211221121100.

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 23 ways as a sum of consecutive naturals, for example, 739936660 + ... + 739950459.

Almost surely, 2^{10211221121100} is an apocalyptic number.

10211221121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211221121100 is an abundant number, since it is smaller than the sum of its proper divisors (20617787362740).

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

10211221121100 is a wasteful number, since it uses less digits than its factorization.

10211221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479887159 (or 1479887152 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10211221121100 its reverse (112112211201), we get a palindrome (10323333332301).

The spelling of 10211221121100 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".