10202001120010 has 144 divisors (see below), whose sum is σ = 22308684433848. Its totient is φ = 3348114631680.

The previous prime is 10202001119983. The next prime is 10202001120053. The reversal of 10202001120010 is 1002110020201.

It can be written as a sum of positive squares in 12 ways, for example, as 356921410041 + 9845079709969 = 597429^2 + 3137687^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43538724 + ... + 43772416.

Almost surely, 2^{10202001120010} is an apocalyptic number.

10202001120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202001120010 is an abundant number, since it is smaller than the sum of its proper divisors (12106683313838).

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

10202001120010 is a wasteful number, since it uses less digits than its factorization.

10202001120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233849 (or 233801 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202001120010 its reverse (1002110020201), we get a palindrome (11204111140211).

The spelling of 10202001120010 in words is "ten trillion, two hundred two billion, one million, one hundred twenty thousand, ten".