10000100121121 has 16 divisors (see below), whose sum is σ = 10998260582400. Its totient is φ = 9016908987600.

The previous prime is 10000100121107. The next prime is 10000100121127. The reversal of 10000100121121 is 12112100100001.

It is a cyclic number.

It is not a de Polignac number, because 10000100121121 - 2¹⁹ = 10000099596833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000100121098 and 10000100121107.

It is not an unprimeable number, because it can be changed into a prime (10000100121127) 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 15 ways as a sum of consecutive naturals, for example, 1558765 + ... + 4736026.

It is an arithmetic number, because the mean of its divisors is an integer number (687391286400).

Almost surely, 2^{10000100121121} is an apocalyptic number.

10000100121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000100121121 is a deficient number, since it is larger than the sum of its proper divisors (998160461279).

10000100121121 is a wasteful number, since it uses less digits than its factorization.

10000100121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295980.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000100121121 its reverse (12112100100001), we get a palindrome (22112200221122).

The spelling of 10000100121121 in words is "ten trillion, one hundred million, one hundred twenty-one thousand, one hundred twenty-one".