10120022220013 has 8 divisors (see below), whose sum is σ = 10153589385632. Its totient is φ = 10086458970096.

The previous prime is 10120022219969. The next prime is 10120022220029. The reversal of 10120022220013 is 31002222002101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120022220013 - 2²⁹ = 10119485349101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120022220613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4244731 + ... + 6185287.

It is an arithmetic number, because the mean of its divisors is an integer number (1269198673204).

Almost surely, 2^{10120022220013} is an apocalyptic number.

It is an amenable number.

10120022220013 is a deficient number, since it is larger than the sum of its proper divisors (33567165619).

10120022220013 is a wasteful number, since it uses less digits than its factorization.

10120022220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957851.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120022220013 its reverse (31002222002101), we get a palindrome (41122244222114).

The spelling of 10120022220013 in words is "ten trillion, one hundred twenty billion, twenty-two million, two hundred twenty thousand, thirteen".