10120210122220 has 192 divisors, whose sum is σ = 23508475361280. Its totient is φ = 3628980864000.

The previous prime is 10120210122193. The next prime is 10120210122233. The reversal of 10120210122220 is 2222101202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10120210122194 and 10120210122203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9740336461 + ... + 9740337499.

It is an arithmetic number, because the mean of its divisors is an integer number (122439975840).

Almost surely, 2^{10120210122220} is an apocalyptic number.

10120210122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120210122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754237680640).

10120210122220 is an abundant number, since it is smaller than the sum of its proper divisors (13388265239060).

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

10120210122220 is a wasteful number, since it uses less digits than its factorization.

10120210122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10120210122220 its reverse (2222101202101), we get a palindrome (12342311324321).

The spelling of 10120210122220 in words is "ten trillion, one hundred twenty billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty".