10211221202100 has 144 divisors (see below), whose sum is σ = 29676377465280. Its totient is φ = 2710838707200.

The previous prime is 10211221202047. The next prime is 10211221202153. The reversal of 10211221202100 is 120212211201.

It is an interprime number because it is at equal distance from previous prime (10211221202047) and next prime (10211221202153).

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 10211221202100.

It is a congruent number.

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, 635452866 + ... + 635468934.

It is an arithmetic number, because the mean of its divisors is an integer number (206085954620).

Almost surely, 2^{10211221202100} is an apocalyptic number.

10211221202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211221202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838188732640).

10211221202100 is an abundant number, since it is smaller than the sum of its proper divisors (19465156263180).

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

10211221202100 is a wasteful number, since it uses less digits than its factorization.

10211221202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25410 (or 25403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211221202100 its reverse (120212211201), we get a palindrome (10331433413301).

It can be divided in two parts, 1021122 and 1202100, that added together give a palindrome (2223222).

The spelling of 10211221202100 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, two hundred two thousand, one hundred".