1001210121001 has 8 divisors (see below), whose sum is σ = 1022333552424. Its totient is φ = 980286912000.

The previous prime is 1001210120957. The next prime is 1001210121007.

1001210121001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 115719710976 + 885490410025 = 340176^2 + 941005^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001210121001 is a prime.

It is a super-2 number, since 2×1001210121001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001210121007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50045500 + ... + 50065501.

It is an arithmetic number, because the mean of its divisors is an integer number (127791694053).

Almost surely, 2^{1001210121001} is an apocalyptic number.

It is an amenable number.

1001210121001 is a deficient number, since it is larger than the sum of its proper divisors (21123431423).

1001210121001 is a wasteful number, since it uses less digits than its factorization.

1001210121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111211.

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

It can be divided in two parts, 1001210 and 121001, that added together give a palindrome (1122211).

The spelling of 1001210121001 in words is "one trillion, one billion, two hundred ten million, one hundred twenty-one thousand, one".