10211201122120 has 32 divisors (see below), whose sum is σ = 23142904745400. Its totient is φ = 4054666720768.

The previous prime is 10211201122097. The next prime is 10211201122189. The reversal of 10211201122120 is 2122110211201.

It can be written as a sum of positive squares in 4 ways, for example, as 9790853773156 + 420347348964 = 3129034^2 + 648342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211201122094 and 10211201122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931673455 + ... + 931684414.

Almost surely, 2^{10211201122120} is an apocalyptic number.

10211201122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211201122120 is an abundant number, since it is smaller than the sum of its proper divisors (12931703623280).

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

10211201122120 is a wasteful number, since it uses less digits than its factorization.

10211201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863358017 (or 1863358013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10211201122120 its reverse (2122110211201), we get a palindrome (12333311333321).

The spelling of 10211201122120 in words is "ten trillion, two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".