10020120002010 has 40 divisors (see below), whose sum is σ = 26942989340916. Its totient is φ = 2672032000320.

The previous prime is 10020120002003. The next prime is 10020120002017. The reversal of 10020120002010 is 1020002102001.

It is an interprime number because it is at equal distance from previous prime (10020120002003) and next prime (10020120002017).

It can be written as a sum of positive squares in 2 ways, for example, as 9255899607201 + 764220394809 = 3042351^2 + 874197^2 .

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 = 10020120001983 and 10020120002001.

It is not an unprimeable number, because it can be changed into a prime (10020120002017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6185258451 + ... + 6185260070.

Almost surely, 2^{10020120002010} is an apocalyptic number.

10020120002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020120002010 is an abundant number, since it is smaller than the sum of its proper divisors (16922869338906).

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

10020120002010 is a wasteful number, since it uses less digits than its factorization.

10020120002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370518540 (or 12370518531 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020120002010 its reverse (1020002102001), we get a palindrome (11040122104011).

The spelling of 10020120002010 in words is "ten trillion, twenty billion, one hundred twenty million, two thousand, ten".