1020121202001 has 32 divisors (see below), whose sum is σ = 1562076679680. Its totient is φ = 585652291200.

The previous prime is 1020121201991. The next prime is 1020121202047. The reversal of 1020121202001 is 1002021210201.

It is not a de Polignac number, because 1020121202001 - 2⁷ = 1020121201873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020121202071) 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 31 ways as a sum of consecutive naturals, for example, 6068581 + ... + 6234413.

It is an arithmetic number, because the mean of its divisors is an integer number (48814896240).

Almost surely, 2^{1020121202001} is an apocalyptic number.

1020121202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020121202001 is a deficient number, since it is larger than the sum of its proper divisors (541955477679).

1020121202001 is a wasteful number, since it uses less digits than its factorization.

1020121202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175677.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020121202001 its reverse (1002021210201), we get a palindrome (2022142412202).

The spelling of 1020121202001 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred two thousand, one".