1001010102121 has 8 divisors (see below), whose sum is σ = 1001400178824. Its totient is φ = 1000620107520.

The previous prime is 1001010102109. The next prime is 1001010102149. The reversal of 1001010102121 is 1212010101001.

It can be written as a sum of positive squares in 4 ways, for example, as 257855762025 + 743154340096 = 507795^2 + 862064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001010102121 - 2⁵ = 1001010102089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001010102098 and 1001010102107.

It is not an unprimeable number, because it can be changed into a prime (1001010102151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34911531 + ... + 34940191.

It is an arithmetic number, because the mean of its divisors is an integer number (125175022353).

Almost surely, 2^{1001010102121} is an apocalyptic number.

It is an amenable number.

1001010102121 is a deficient number, since it is larger than the sum of its proper divisors (390076703).

1001010102121 is an equidigital number, since it uses as much as digits as its factorization.

1001010102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41051.

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

Adding to 1001010102121 its reverse (1212010101001), we get a palindrome (2213020203122).

The spelling of 1001010102121 in words is "one trillion, one billion, ten million, one hundred two thousand, one hundred twenty-one".