10211011202120 has 32 divisors (see below), whose sum is σ = 23024612068920. Its totient is φ = 4075544593920.

The previous prime is 10211011202083. The next prime is 10211011202137. The reversal of 10211011202120 is 2120211011201.

It can be written as a sum of positive squares in 4 ways, for example, as 8661967106884 + 1549044095236 = 2943122^2 + 1244606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211011202095 and 10211011202104.

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 7 ways as a sum of consecutive naturals, for example, 276852797 + ... + 276889676.

Almost surely, 2^{10211011202120} is an apocalyptic number.

10211011202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211011202120 is an abundant number, since it is smaller than the sum of its proper divisors (12813600866800).

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

10211011202120 is a wasteful number, since it uses less digits than its factorization.

10211011202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553742945 (or 553742941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211011202120 its reverse (2120211011201), we get a palindrome (12331222213321).

The spelling of 10211011202120 in words is "ten trillion, two hundred eleven billion, eleven million, two hundred two thousand, one hundred twenty".