100211000120028 has 288 divisors, whose sum is σ = 322745579520000. Its totient is φ = 26547657356736.

The previous prime is 100211000119999. The next prime is 100211000120029. The reversal of 100211000120028 is 820021000112001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211000120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2170528 + ... + 14322471.

Almost surely, 2^{100211000120028} is an apocalyptic number.

100211000120028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211000120028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161372789760000).

100211000120028 is an abundant number, since it is smaller than the sum of its proper divisors (222534579399972).

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

100211000120028 is a wasteful number, since it uses less digits than its factorization.

100211000120028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16493091 (or 16493077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211000120028 its reverse (820021000112001), we get a palindrome (920232000232029).

The spelling of 100211000120028 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty thousand, twenty-eight".