1020001121001 has 24 divisors (see below), whose sum is σ = 1481990332680. Its totient is φ = 676006695936.

The previous prime is 1020001120967. The next prime is 1020001121071. The reversal of 1020001121001 is 1001211000201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 194309048025 + 825692072976 = 440805^2 + 908676^2 .

It is not a de Polignac number, because 1020001121001 - 2¹⁵ = 1020001088233 is a prime.

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 (1020001121071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21352195 + ... + 21399911.

It is an arithmetic number, because the mean of its divisors is an integer number (61749597195).

Almost surely, 2^{1020001121001} is an apocalyptic number.

It is an amenable number.

1020001121001 is a deficient number, since it is larger than the sum of its proper divisors (461989211679).

1020001121001 is a wasteful number, since it uses less digits than its factorization.

1020001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61625 (or 61622 counting only the distinct ones).

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

Adding to 1020001121001 its reverse (1001211000201), we get a palindrome (2021212121202).

The spelling of 1020001121001 in words is "one trillion, twenty billion, one million, one hundred twenty-one thousand, one".