10202120012010 has 32 divisors (see below), whose sum is σ = 24487265097792. Its totient is φ = 2720323440000.

The previous prime is 10202120012009. The next prime is 10202120012069. The reversal of 10202120012010 is 1021002120201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14775379 + ... + 15450438.

It is an arithmetic number, because the mean of its divisors is an integer number (765227034306).

Almost surely, 2^{10202120012010} is an apocalyptic number.

10202120012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202120012010 is an abundant number, since it is smaller than the sum of its proper divisors (14285145085782).

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

10202120012010 is a wasteful number, since it uses less digits than its factorization.

10202120012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30237078.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202120012010 its reverse (1021002120201), we get a palindrome (11223122132211).

The spelling of 10202120012010 in words is "ten trillion, two hundred two billion, one hundred twenty million, twelve thousand, ten".