10211323020100 has 72 divisors (see below), whose sum is σ = 22924963333440. Its totient is φ = 3943287035520.

The previous prime is 10211323020043. The next prime is 10211323020121. The reversal of 10211323020100 is 102032311201.

It is a super-2 number, since 2×10211323020100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29544487 + ... + 29888113.

It is an arithmetic number, because the mean of its divisors is an integer number (318402268520).

Almost surely, 2^{10211323020100} is an apocalyptic number.

10211323020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211323020100 is an abundant number, since it is smaller than the sum of its proper divisors (12713640313340).

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

10211323020100 is a wasteful number, since it uses less digits than its factorization.

10211323020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353917 (or 353910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10211323020100 its reverse (102032311201), we get a palindrome (10313355331301).

The spelling of 10211323020100 in words is "ten trillion, two hundred eleven billion, three hundred twenty-three million, twenty thousand, one hundred".