1200112100021 has 16 divisors (see below), whose sum is σ = 1274347364400. Its totient is φ = 1126283304960.

The previous prime is 1200112099993. The next prime is 1200112100029. The reversal of 1200112100021 is 1200012110021.

It can be written as a sum of positive squares in 8 ways, for example, as 124506651025 + 1075605448996 = 352855^2 + 1037114^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200112100021 - 2¹⁴ = 1200112083637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200112099975 and 1200112100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200112100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20548541 + ... + 20606861.

It is an arithmetic number, because the mean of its divisors is an integer number (79646710275).

Almost surely, 2^{1200112100021} is an apocalyptic number.

It is an amenable number.

1200112100021 is a deficient number, since it is larger than the sum of its proper divisors (74235264379).

1200112100021 is a wasteful number, since it uses less digits than its factorization.

1200112100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61784.

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

Adding to 1200112100021 its reverse (1200012110021), we get a palindrome (2400124210042).

The spelling of 1200112100021 in words is "one trillion, two hundred billion, one hundred twelve million, one hundred thousand, twenty-one".