10000101001121 has 32 divisors (see below), whose sum is σ = 12511242374400. Its totient is φ = 7765091308800.

The previous prime is 10000101001097. The next prime is 10000101001133. The reversal of 10000101001121 is 12110010100001.

It is a happy number.

It is not a de Polignac number, because 10000101001121 - 2⁶ = 10000101001057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000101001099 and 10000101001108.

It is not an unprimeable number, because it can be changed into a prime (10000101000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26685155 + ... + 27057303.

It is an arithmetic number, because the mean of its divisors is an integer number (390976324200).

Almost surely, 2^{10000101001121} is an apocalyptic number.

10000101001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000101001121 is a deficient number, since it is larger than the sum of its proper divisors (2511141373279).

10000101001121 is a wasteful number, since it uses less digits than its factorization.

10000101001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373385.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10000101001121 its reverse (12110010100001), we get a palindrome (22110111101122).

The spelling of 10000101001121 in words is "ten trillion, one hundred one million, one thousand, one hundred twenty-one".