1020101020001 has 32 divisors (see below), whose sum is σ = 1263671619840. Its totient is φ = 803623680000.

The previous prime is 1020101019979. The next prime is 1020101020019. The reversal of 1020101020001 is 1000201010201.

It is a cyclic number.

It is not a de Polignac number, because 1020101020001 - 2⁶ = 1020101019937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020101020031) 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 31 ways as a sum of consecutive naturals, for example, 503501 + ... + 1514501.

It is an arithmetic number, because the mean of its divisors is an integer number (39489738120).

Almost surely, 2^{1020101020001} is an apocalyptic number.

It is an amenable number.

1020101020001 is a deficient number, since it is larger than the sum of its proper divisors (243570599839).

1020101020001 is a wasteful number, since it uses less digits than its factorization.

1020101020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011225.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1020101020001 its reverse (1000201010201), we get a palindrome (2020302030202).

The spelling of 1020101020001 in words is "one trillion, twenty billion, one hundred one million, twenty thousand, one".