211101220000100 has 36 divisors (see below), whose sum is σ = 458164487749668. Its totient is φ = 84426692544000.

The previous prime is 211101220000051. The next prime is 211101220000109. The reversal of 211101220000100 is 1000022101112.

It can be written as a sum of positive squares in 6 ways, for example, as 921742085476 + 210179477914624 = 960074^2 + 14497568^2 .

It is not an unprimeable number, because it can be changed into a prime (211101220000109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171828041 + ... + 173052240.

Almost surely, 2^{211101220000100} is an apocalyptic number.

211101220000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101220000100 is an abundant number, since it is smaller than the sum of its proper divisors (247063267749568).

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

211101220000100 is a wasteful number, since it uses less digits than its factorization.

211101220000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344886416 (or 344886409 counting only the distinct ones).

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

Adding to 211101220000100 its reverse (1000022101112), we get a palindrome (212101242101212).

The spelling of 211101220000100 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty million, one hundred", and thus it is an aban number.