10120000121010 has 48 divisors (see below), whose sum is σ = 28336000342104. Its totient is φ = 2491076952576.

The previous prime is 10120000121009. The next prime is 10120000121041. The reversal of 10120000121010 is 1012100002101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5302708223121 + 4817291897889 = 2302761^2 + 2194833^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10120000120983 and 10120000121001.

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, 4324785207 + ... + 4324787546.

Almost surely, 2^{10120000121010} is an apocalyptic number.

10120000121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120000121010 is an abundant number, since it is smaller than the sum of its proper divisors (18216000221094).

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

10120000121010 is a wasteful number, since it uses less digits than its factorization.

10120000121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8649572779 (or 8649572776 counting only the distinct ones).

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

Adding to 10120000121010 its reverse (1012100002101), we get a palindrome (11132100123111).

The spelling of 10120000121010 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one thousand, ten".