202010100012 has 288 divisors, whose sum is σ = 615904353792. Its totient is φ = 56702716416.

The previous prime is 202010100011. The next prime is 202010100053. The reversal of 202010100012 is 210001010202.

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 = 202010099967 and 202010100003.

It is not an unprimeable number, because it can be changed into a prime (202010100011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 157450723 + ... + 157452005.

It is an arithmetic number, because the mean of its divisors is an integer number (2138556784).

Almost surely, 2^202010100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202010100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307952176896).

202010100012 is an abundant number, since it is smaller than the sum of its proper divisors (413894253780).

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

202010100012 is a wasteful number, since it uses less digits than its factorization.

202010100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1685 counting only the distinct ones).

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

Adding to 202010100012 its reverse (210001010202), we get a palindrome (412011110214).

The spelling of 202010100012 in words is "two hundred two billion, ten million, one hundred thousand, twelve".