1010121020001 has 6 divisors (see below), whose sum is σ = 1459063695570. Its totient is φ = 673414013328.

The previous prime is 1010121019981. The next prime is 1010121020039. The reversal of 1010121020001 is 1000201210101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 593677955025 + 416443064976 = 770505^2 + 645324^2 .

It is not a de Polignac number, because 1010121020001 - 2⁵ = 1010121019969 is a prime.

It is a super-4 number, since 4×1010121020001⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112235668889 = 1010121020001 / (1 + 0 + 1 + 0 + 1 + 2 + 1 + 0 + 2 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1010121028001) 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 5 ways as a sum of consecutive naturals, for example, 56117834436 + ... + 56117834453.

It is an arithmetic number, because the mean of its divisors is an integer number (243177282595).

Almost surely, 2^{1010121020001} is an apocalyptic number.

It is an amenable number.

1010121020001 is a deficient number, since it is larger than the sum of its proper divisors (448942675569).

1010121020001 is a wasteful number, since it uses less digits than its factorization.

1010121020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112235668895 (or 112235668892 counting only the distinct ones).

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

Adding to 1010121020001 its reverse (1000201210101), we get a palindrome (2010322230102).

The spelling of 1010121020001 in words is "one trillion, ten billion, one hundred twenty-one million, twenty thousand, one".