100211101020112 has 20 divisors (see below), whose sum is σ = 194257416299940. Its totient is φ = 50080154878208.

The previous prime is 100211101020101. The next prime is 100211101020137. The reversal of 100211101020112 is 211020101112001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37382903592336 + 62828197427776 = 6114156^2 + 7926424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100211101020092 and 100211101020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1587194437 + ... + 1587257572.

It is an arithmetic number, because the mean of its divisors is an integer number (9712870814997).

Almost surely, 2^{100211101020112} is an apocalyptic number.

It is an amenable number.

100211101020112 is a deficient number, since it is larger than the sum of its proper divisors (94046315279828).

100211101020112 is a wasteful number, since it uses less digits than its factorization.

100211101020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174453990 (or 3174453984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100211101020112 its reverse (211020101112001), we get a palindrome (311231202132113).

The spelling of 100211101020112 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, twenty thousand, one hundred twelve".