10270201120 has 48 divisors (see below), whose sum is σ = 24605114688. Its totient is φ = 4050215680.

The previous prime is 10270201103. The next prime is 10270201153. The reversal of 10270201120 is 2110207201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10270201094 and 10270201103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440674 + ... + 463393.

It is an arithmetic number, because the mean of its divisors is an integer number (512606556).

Almost surely, 2^10270201120 is an apocalyptic number.

10270201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270201120 is an abundant number, since it is smaller than the sum of its proper divisors (14334913568).

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

10270201120 is an equidigital number, since it uses as much as digits as its factorization.

10270201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904153 (or 904145 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 10270201120 its reverse (2110207201), we get a palindrome (12380408321).

The spelling of 10270201120 in words is "ten billion, two hundred seventy million, two hundred one thousand, one hundred twenty".