1211200100121 has 128 divisors (see below), whose sum is σ = 1910395238400. Its totient is φ = 674465792000.

The previous prime is 1211200100111. The next prime is 1211200100147. The reversal of 1211200100121 is 1210010021121.

It is not a de Polignac number, because 1211200100121 - 2⁶ = 1211200100057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1211200100097 and 1211200100106.

It is not an unprimeable number, because it can be changed into a prime (1211200100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1837936090 + ... + 1837936748.

It is an arithmetic number, because the mean of its divisors is an integer number (14924962800).

Almost surely, 2^{1211200100121} is an apocalyptic number.

1211200100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211200100121 is a deficient number, since it is larger than the sum of its proper divisors (699195138279).

1211200100121 is a wasteful number, since it uses less digits than its factorization.

1211200100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1211200100121 its reverse (1210010021121), we get a palindrome (2421210121242).

The spelling of 1211200100121 in words is "one trillion, two hundred eleven billion, two hundred million, one hundred thousand, one hundred twenty-one".