10202100210122 has 72 divisors (see below), whose sum is σ = 16717677128460. Its totient is φ = 4665973524480.

The previous prime is 10202100210121. The next prime is 10202100210167. The reversal of 10202100210122 is 22101200120201.

10202100210122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4481684766001 + 5720415444121 = 2116999^2 + 2391739^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10202100210097 and 10202100210106.

It is not an unprimeable number, because it can be changed into a prime (10202100210121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278506904 + ... + 278543532.

Almost surely, 2^{10202100210122} is an apocalyptic number.

10202100210122 is a deficient number, since it is larger than the sum of its proper divisors (6515576918338).

10202100210122 is an equidigital number, since it uses as much as digits as its factorization.

10202100210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36904 (or 36788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202100210122 its reverse (22101200120201), we get a palindrome (32303300330323).

The spelling of 10202100210122 in words is "ten trillion, two hundred two billion, one hundred million, two hundred ten thousand, one hundred twenty-two".