10200020010010 has 32 divisors (see below), whose sum is σ = 19158484528512. Its totient is φ = 3902578447680.

The previous prime is 10200020009989. The next prime is 10200020010023. The reversal of 10200020010010 is 1001002000201.

It is a junction number, because it is equal to n+sod(n) for n = 10200020009975 and 10200020010002.

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, 39031180 + ... + 39291640.

It is an arithmetic number, because the mean of its divisors is an integer number (598702641516).

Almost surely, 2^{10200020010010} is an apocalyptic number.

10200020010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200020010010 is a deficient number, since it is larger than the sum of its proper divisors (8958464518502).

10200020010010 is a wasteful number, since it uses less digits than its factorization.

10200020010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430758.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10200020010010 its reverse (1001002000201), we get a palindrome (11201022010211).

The spelling of 10200020010010 in words is "ten trillion, two hundred billion, twenty million, ten thousand, ten".