10211120000020 has 48 divisors (see below), whose sum is σ = 21656888458128. Its totient is φ = 4043778969600.

The previous prime is 10211119999981. The next prime is 10211120000063. The reversal of 10211120000020 is 2000002111201.

It can be written as a sum of positive squares in 8 ways, for example, as 1935164774404 + 8275955225616 = 1391102^2 + 2876796^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10211119999961 and 10211120000006.

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 15 ways as a sum of consecutive naturals, for example, 38070622 + ... + 38337898.

It is an arithmetic number, because the mean of its divisors is an integer number (451185176211).

Almost surely, 2^{10211120000020} is an apocalyptic number.

10211120000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211120000020 is an abundant number, since it is smaller than the sum of its proper divisors (11445768458108).

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

10211120000020 is a wasteful number, since it uses less digits than its factorization.

10211120000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286300 (or 286298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10211120000020 its reverse (2000002111201), we get a palindrome (12211122111221).

The spelling of 10211120000020 in words is "ten trillion, two hundred eleven billion, one hundred twenty million, twenty", and thus it is an aban number.