10211211120 has 160 divisors (see below), whose sum is σ = 34949263104. Its totient is φ = 2445568000.

The previous prime is 10211211079. The next prime is 10211211137. The reversal of 10211211120 is 2111211201.

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 = 10211211096 and 10211211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195820 + ... + 242420.

Almost surely, 2^10211211120 is an apocalyptic number.

10211211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474631552).

10211211120 is an abundant number, since it is smaller than the sum of its proper divisors (24738051984).

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

10211211120 is a wasteful number, since it uses less digits than its factorization.

10211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46711 (or 46705 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211211120 its reverse (2111211201), we get a palindrome (12322422321).

The spelling of 10211211120 in words is "ten billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".