10121200102211 has 32 divisors (see below), whose sum is σ = 11761381509120. Its totient is φ = 8618958691200.

The previous prime is 10121200102201. The next prime is 10121200102259. The reversal of 10121200102211 is 11220100212101.

It is a de Polignac number, because none of the positive numbers 2^k-10121200102211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121200102201) 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 31 ways as a sum of consecutive naturals, for example, 2102246 + ... + 4966068.

It is an arithmetic number, because the mean of its divisors is an integer number (367543172160).

Almost surely, 2^{10121200102211} is an apocalyptic number.

10121200102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121200102211 is a deficient number, since it is larger than the sum of its proper divisors (1640181406909).

10121200102211 is a wasteful number, since it uses less digits than its factorization.

10121200102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864147.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121200102211 its reverse (11220100212101), we get a palindrome (21341300314312).

The spelling of 10121200102211 in words is "ten trillion, one hundred twenty-one billion, two hundred million, one hundred two thousand, two hundred eleven".