10101201121128 has 64 divisors (see below), whose sum is σ = 27257490691200. Its totient is φ = 3100981973760.

The previous prime is 10101201121127. The next prime is 10101201121139. The reversal of 10101201121128 is 82112110210101.

It is not an unprimeable number, because it can be changed into a prime (10101201121127) by changing a digit.

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, 36737343 + ... + 37011278.

It is an arithmetic number, because the mean of its divisors is an integer number (425898292050).

Almost surely, 2^{10101201121128} is an apocalyptic number.

It is an amenable number.

10101201121128 is an abundant number, since it is smaller than the sum of its proper divisors (17156289570072).

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

10101201121128 is a wasteful number, since it uses less digits than its factorization.

10101201121128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73749082 (or 73749078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 10101201121128 its reverse (82112110210101), we get a palindrome (92213311331229).

The spelling of 10101201121128 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-eight".