100011211200020 has 12 divisors (see below), whose sum is σ = 210023543520084. Its totient is φ = 40004484480000.

The previous prime is 100011211200011. The next prime is 100011211200023. The reversal of 100011211200020 is 20002112110001.

It can be written as a sum of positive squares in 2 ways, for example, as 11275640158084 + 88735571041936 = 3357922^2 + 9419956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100011211199974 and 100011211200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011211200023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2500280279981 + ... + 2500280280020.

It is an arithmetic number, because the mean of its divisors is an integer number (17501961960007).

Almost surely, 2^{100011211200020} is an apocalyptic number.

100011211200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011211200020 is an abundant number, since it is smaller than the sum of its proper divisors (110012332320064).

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

100011211200020 is a wasteful number, since it uses less digits than its factorization.

100011211200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000560560010 (or 5000560560008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100011211200020 its reverse (20002112110001), we get a palindrome (120013323310021).

The spelling of 100011211200020 in words is "one hundred trillion, eleven billion, two hundred eleven million, two hundred thousand, twenty".