202012100010 has 256 divisors, whose sum is σ = 656271360000. Its totient is φ = 43189645824.

The previous prime is 202012099997. The next prime is 202012100011. The reversal of 202012100010 is 10001210202.

202012100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 202012099965 and 202012100001.

It is not an unprimeable number, because it can be changed into a prime (202012100011) 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 127 ways as a sum of consecutive naturals, for example, 2801286 + ... + 2872494.

It is an arithmetic number, because the mean of its divisors is an integer number (2563560000).

Almost surely, 2^202012100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328135680000).

202012100010 is an abundant number, since it is smaller than the sum of its proper divisors (454259259990).

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

202012100010 is a wasteful number, since it uses less digits than its factorization.

202012100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71330 (or 71324 counting only the distinct ones).

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

Adding to 202012100010 its reverse (10001210202), we get a palindrome (212013310212).

The spelling of 202012100010 in words is "two hundred two billion, twelve million, one hundred thousand, ten".