10000211211120 has 160 divisors (see below), whose sum is σ = 33648198377472. Its totient is φ = 2442207753216.

The previous prime is 10000211211119. The next prime is 10000211211143. The reversal of 10000211211120 is 2111211200001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000211211096 and 10000211211105.

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 31 ways as a sum of consecutive naturals, for example, 12222642 + ... + 13015121.

Almost surely, 2^{10000211211120} is an apocalyptic number.

10000211211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000211211120 is an abundant number, since it is smaller than the sum of its proper divisors (23647987166352).

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

10000211211120 is a wasteful number, since it uses less digits than its factorization.

10000211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25237919 (or 25237913 counting only the distinct ones).

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

Adding to 10000211211120 its reverse (2111211200001), we get a palindrome (12111422411121).

The spelling of 10000211211120 in words is "ten trillion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".