100211202202112 has 20 divisors (see below), whose sum is σ = 200226679400946. Its totient is φ = 50105601100800.

The previous prime is 100211202202073. The next prime is 100211202202117. The reversal of 100211202202112 is 211202202112001.

It can be written as a sum of positive squares in only one way, i.e., 75297687275776 + 24913514926336 = 8677424^2 + 4991344^2 .

It is not an unprimeable number, because it can be changed into a prime (100211202202117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 97862501639 + ... + 97862502662.

Almost surely, 2^{100211202202112} is an apocalyptic number.

It is an amenable number.

100211202202112 is a deficient number, since it is larger than the sum of its proper divisors (100015477198834).

100211202202112 is an frugal number, since it uses more digits than its factorization.

100211202202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195725004319 (or 195725004303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100211202202112 its reverse (211202202112001), we get a palindrome (311413404314113).

The spelling of 100211202202112 in words is "one hundred trillion, two hundred eleven billion, two hundred two million, two hundred two thousand, one hundred twelve".