10121199048 has 64 divisors (see below), whose sum is σ = 28247812800. Its totient is φ = 3357728640.

The previous prime is 10121199047. The next prime is 10121199163. The reversal of 10121199048 is 84099112101.

10121199048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121199048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10121199043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65461 + ... + 156612.

It is an arithmetic number, because the mean of its divisors is an integer number (441372075).

Almost surely, 2^10121199048 is an apocalyptic number.

10121199048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10121199048 is an abundant number, since it is smaller than the sum of its proper divisors (18126613752).

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

10121199048 is a wasteful number, since it uses less digits than its factorization.

10121199048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222299 (or 222289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10121199048 in words is "ten billion, one hundred twenty-one million, one hundred ninety-nine thousand, forty-eight".