1020022002001 has 32 divisors (see below), whose sum is σ = 1068789553920. Its totient is φ = 972711742464.

The previous prime is 1020022001981. The next prime is 1020022002011. The reversal of 1020022002001 is 1002002200201.

1020022002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1020022002001 - 2²³ = 1020013613393 is a prime.

It is a super-3 number, since 3×1020022002001³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020022002011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160402860 + ... + 160409218.

It is an arithmetic number, because the mean of its divisors is an integer number (33399673560).

Almost surely, 2^{1020022002001} is an apocalyptic number.

It is an amenable number.

1020022002001 is a deficient number, since it is larger than the sum of its proper divisors (48767551919).

1020022002001 is a wasteful number, since it uses less digits than its factorization.

1020022002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020022002001 its reverse (1002002200201), we get a palindrome (2022024202202).

It can be divided in two parts, 102002200200 and 1, that added together give a palindrome (102002200201).

The spelling of 1020022002001 in words is "one trillion, twenty billion, twenty-two million, two thousand, one".