10211120000010 has 64 divisors (see below), whose sum is σ = 27232253948160. Its totient is φ = 2722705272000.

The previous prime is 10211119999981. The next prime is 10211120000063. The reversal of 10211120000010 is 1000002111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10211119999947 and 10211120000001.

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, 1034539 + ... + 4636001.

It is an arithmetic number, because the mean of its divisors is an integer number (425503967940).

Almost surely, 2^{10211120000010} is an apocalyptic number.

10211120000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211120000010 is an abundant number, since it is smaller than the sum of its proper divisors (17021133948150).

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

10211120000010 is a wasteful number, since it uses less digits than its factorization.

10211120000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611980 (or 3611974 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10211120000010 its reverse (1000002111201), we get a palindrome (11211122111211).

The spelling of 10211120000010 in words is "ten trillion, two hundred eleven billion, one hundred twenty million, ten", and thus it is an aban number.