10301222202120 has 96 divisors (see below), whose sum is σ = 33804010843200. Its totient is φ = 2720322746496.

The previous prime is 10301222202119. The next prime is 10301222202133. The reversal of 10301222202120 is 2120222210301.

10301222202120 is a `hidden beast` number, since 1 + 0 + 301 + 22 + 220 + 2 + 120 = 666.

It is a super-2 number, since 2×10301222202120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10301222202093 and 10301222202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138868290 + ... + 138942449.

It is an arithmetic number, because the mean of its divisors is an integer number (352125112950).

Almost surely, 2^{10301222202120} is an apocalyptic number.

10301222202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301222202120 is an abundant number, since it is smaller than the sum of its proper divisors (23502788641080).

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

10301222202120 is a wasteful number, since it uses less digits than its factorization.

10301222202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277810859 (or 277810852 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10301222202120 its reverse (2120222210301), we get a palindrome (12421444412421).

The spelling of 10301222202120 in words is "ten trillion, three hundred one billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty".