10100121121211 has 24 divisors (see below), whose sum is σ = 11629970062848. Its totient is φ = 8697753918000.

The previous prime is 10100121121187. The next prime is 10100121121213. The reversal of 10100121121211 is 11212112100101.

It is a de Polignac number, because none of the positive numbers 2^k-10100121121211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100121121213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39068906 + ... + 39326576.

It is an arithmetic number, because the mean of its divisors is an integer number (484582085952).

Almost surely, 2^{10100121121211} is an apocalyptic number.

10100121121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100121121211 is a deficient number, since it is larger than the sum of its proper divisors (1529848941637).

10100121121211 is a wasteful number, since it uses less digits than its factorization.

10100121121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267591 (or 267572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10100121121211 its reverse (11212112100101), we get a palindrome (21312233221312).

It can be divided in two parts, 101001 and 21121211, that added together give a palindrome (21222212).

The spelling of 10100121121211 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred eleven".