10301211220120 has 64 divisors (see below), whose sum is σ = 23385548232000. Its totient is φ = 4083546636288.

The previous prime is 10301211220037. The next prime is 10301211220121. The reversal of 10301211220120 is 2102211210301.

It is a super-2 number, since 2×10301211220120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301211220094 and 10301211220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301211220121) 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, 40231461 + ... + 40486699.

It is an arithmetic number, because the mean of its divisors is an integer number (365399191125).

Almost surely, 2^{10301211220120} is an apocalyptic number.

10301211220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301211220120 is an abundant number, since it is smaller than the sum of its proper divisors (13084337011880).

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

10301211220120 is a wasteful number, since it uses less digits than its factorization.

10301211220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264292 (or 264288 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10301211220120 its reverse (2102211210301), we get a palindrome (12403422430421).

The spelling of 10301211220120 in words is "ten trillion, three hundred one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".