12211021010100 has 144 divisors (see below), whose sum is σ = 38544301131840. Its totient is φ = 2960103244800.

The previous prime is 12211021010093. The next prime is 12211021010113. The reversal of 12211021010100 is 101012011221.

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

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, 77831334 + ... + 77988066.

It is an arithmetic number, because the mean of its divisors is an integer number (267668757860).

Almost surely, 2^{12211021010100} is an apocalyptic number.

12211021010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211021010100 is an abundant number, since it is smaller than the sum of its proper divisors (26333280121740).

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

12211021010100 is a wasteful number, since it uses less digits than its factorization.

12211021010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180370 (or 180363 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211021010100 its reverse (101012011221), we get a palindrome (12312033021321).

The spelling of 12211021010100 in words is "twelve trillion, two hundred eleven billion, twenty-one million, ten thousand, one hundred".