100211101100012 has 96 divisors (see below), whose sum is σ = 211201856678400. Its totient is φ = 40642655219712.

The previous prime is 100211101099981. The next prime is 100211101100081. The reversal of 100211101100012 is 210001101112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211101099966 and 100211101100002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4197663308 + ... + 4197687180.

It is an arithmetic number, because the mean of its divisors is an integer number (2200019340400).

Almost surely, 2^{100211101100012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211101100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105600928339200).

100211101100012 is an abundant number, since it is smaller than the sum of its proper divisors (110990755578388).

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

100211101100012 is a wasteful number, since it uses less digits than its factorization.

100211101100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32215 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100211101100012 its reverse (210001101112001), we get a palindrome (310212202212013).

The spelling of 100211101100012 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, one hundred thousand, twelve".