1000210210121 has 16 divisors (see below), whose sum is σ = 1079342528400. Its totient is φ = 923343403008.

The previous prime is 1000210210093. The next prime is 1000210210277. The reversal of 1000210210121 is 1210120120001.

It can be written as a sum of positive squares in 8 ways, for example, as 85518814096 + 914691396025 = 292436^2 + 956395^2 .

It is not a de Polignac number, because 1000210210121 - 2³⁸ = 725332303177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000210210621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2965565 + ... + 3285573.

It is an arithmetic number, because the mean of its divisors is an integer number (67458908025).

Almost surely, 2^{1000210210121} is an apocalyptic number.

It is an amenable number.

1000210210121 is a deficient number, since it is larger than the sum of its proper divisors (79132318279).

1000210210121 is a wasteful number, since it uses less digits than its factorization.

1000210210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323548.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000210210121 its reverse (1210120120001), we get a palindrome (2210330330122).

The spelling of 1000210210121 in words is "one trillion, two hundred ten million, two hundred ten thousand, one hundred twenty-one".