100211133020 has 48 divisors (see below), whose sum is σ = 214237185120. Its totient is φ = 39363265536.

The previous prime is 100211133013. The next prime is 100211133053. The reversal of 100211133020 is 20331112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211132986 and 100211133004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1079984 + ... + 1169096.

It is an arithmetic number, because the mean of its divisors is an integer number (4463274690).

Almost surely, 2^100211133020 is an apocalyptic number.

100211133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211133020 is an abundant number, since it is smaller than the sum of its proper divisors (114026052100).

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

100211133020 is a wasteful number, since it uses less digits than its factorization.

100211133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90134 (or 90132 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100211133020 its reverse (20331112001), we get a palindrome (120542245021).

The spelling of 100211133020 in words is "one hundred billion, two hundred eleven million, one hundred thirty-three thousand, twenty".