10211121120 has 48 divisors (see below), whose sum is σ = 32165033040. Its totient is φ = 2722965504.

The previous prime is 10211121023. The next prime is 10211121133. The reversal of 10211121120 is 2112111201.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 10211121096 and 10211121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10636105 + ... + 10637064.

It is an arithmetic number, because the mean of its divisors is an integer number (670104855).

Almost surely, 2^10211121120 is an apocalyptic number.

10211121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211121120 is an abundant number, since it is smaller than the sum of its proper divisors (21953911920).

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

10211121120 is a wasteful number, since it uses less digits than its factorization.

10211121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21273187 (or 21273179 counting only the distinct ones).

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

Adding to 10211121120 its reverse (2112111201), we get a palindrome (12323232321).

The spelling of 10211121120 in words is "ten billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".