100211101128 has 40 divisors (see below), whose sum is σ = 280683873030. Its totient is φ = 33403700160.

The previous prime is 100211101127. The next prime is 100211101163. The reversal of 100211101128 is 821101112001.

100211101128 is digitally balanced in base 3, 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 only one way, i.e., 82416074724 + 17795026404 = 287082^2 + 133398^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100211101128.

It is not an unprimeable number, because it can be changed into a prime (100211101121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77322733 + ... + 77324028.

Almost surely, 2^100211101128 is an apocalyptic number.

100211101128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100211101128 is an abundant number, since it is smaller than the sum of its proper divisors (180472771902).

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

100211101128 is a wasteful number, since it uses less digits than its factorization.

100211101128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154646779 (or 154646766 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100211101128 its reverse (821101112001), we get a palindrome (921312213129).

The spelling of 100211101128 in words is "one hundred billion, two hundred eleven million, one hundred one thousand, one hundred twenty-eight".