10010100100121 has 12 divisors (see below), whose sum is σ = 11005101439332. Its totient is φ = 9098218404000.

The previous prime is 10010100100111. The next prime is 10010100100151. The reversal of 10010100100121 is 12100100101001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9653069949721 + 357030150400 = 3106939^2 + 597520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10010100100121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010100100099 and 10010100100108.

It is not an unprimeable number, because it can be changed into a prime (10010100100111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7921190 + ... + 9097551.

It is an arithmetic number, because the mean of its divisors is an integer number (917091786611).

Almost surely, 2^{10010100100121} is an apocalyptic number.

10010100100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010100100121 is a deficient number, since it is larger than the sum of its proper divisors (995001339211).

10010100100121 is a wasteful number, since it uses less digits than its factorization.

10010100100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17023624 (or 17023613 counting only the distinct ones).

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

Adding to 10010100100121 its reverse (12100100101001), we get a palindrome (22110200201122).

The spelling of 10010100100121 in words is "ten trillion, ten billion, one hundred million, one hundred thousand, one hundred twenty-one".