10211202120 has 96 divisors (see below), whose sum is σ = 35635032000. Its totient is φ = 2333987712.

The previous prime is 10211202109. The next prime is 10211202161. The reversal of 10211202120 is 2120211201.

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 = 10211202096 and 10211202105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862420 + ... + 874179.

It is an arithmetic number, because the mean of its divisors is an integer number (371198250).

Almost surely, 2^10211202120 is an apocalyptic number.

10211202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211202120 is an abundant number, since it is smaller than the sum of its proper divisors (25423829880).

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

10211202120 is a wasteful number, since it uses less digits than its factorization.

10211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736627 (or 1736616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211202120 its reverse (2120211201), we get a palindrome (12331413321).

The spelling of 10211202120 in words is "ten billion, two hundred eleven million, two hundred two thousand, one hundred twenty".