1000210121001 has 72 divisors (see below), whose sum is σ = 1858820747784. Its totient is φ = 513324241920.

The previous prime is 1000210120999. The next prime is 1000210121039. The reversal of 1000210121001 is 1001210120001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 187870233600 + 812339887401 = 433440^2 + 901299^2 .

It is not a de Polignac number, because 1000210121001 - 2¹ = 1000210120999 is a prime.

It is a super-2 number, since 2×1000210121001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000210121401) 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 71 ways as a sum of consecutive naturals, for example, 2145520 + ... + 2569761.

Almost surely, 2^{1000210121001} is an apocalyptic number.

It is an amenable number.

1000210121001 is a deficient number, since it is larger than the sum of its proper divisors (858610626783).

1000210121001 is a wasteful number, since it uses less digits than its factorization.

1000210121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715351 (or 4715341 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000210121001 its reverse (1001210120001), we get a palindrome (2001420241002).

It can be divided in two parts, 1000210 and 121001, that added together give a palindrome (1121211).

The spelling of 1000210121001 in words is "one trillion, two hundred ten million, one hundred twenty-one thousand, one".