10120110020010 has 32 divisors (see below), whose sum is σ = 26986960054080. Its totient is φ = 2698696005264.

The previous prime is 10120110019951. The next prime is 10120110020029. The reversal of 10120110020010 is 1002001102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10120110019974 and 10120110020001.

It is an unprimeable number.

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, 18740944212 + ... + 18740944751.

It is an arithmetic number, because the mean of its divisors is an integer number (843342501690).

Almost surely, 2^{10120110020010} is an apocalyptic number.

10120110020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120110020010 is an abundant number, since it is smaller than the sum of its proper divisors (16866850034070).

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

10120110020010 is a wasteful number, since it uses less digits than its factorization.

10120110020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37481888979 (or 37481888973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120110020010 its reverse (1002001102101), we get a palindrome (11122111122111).

The spelling of 10120110020010 in words is "ten trillion, one hundred twenty billion, one hundred ten million, twenty thousand, ten".