1001020020121 has 16 divisors (see below), whose sum is σ = 1146354278400. Its totient is φ = 865736269200.

The previous prime is 1001020020089. The next prime is 1001020020167. The reversal of 1001020020121 is 1210200201001.

It is not a de Polignac number, because 1001020020121 - 2⁵ = 1001020020089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001020020098 and 1001020020107.

It is not an unprimeable number, because it can be changed into a prime (1001020023121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24857361 + ... + 24897598.

It is an arithmetic number, because the mean of its divisors is an integer number (71647142400).

Almost surely, 2^{1001020020121} is an apocalyptic number.

1001020020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001020020121 is a deficient number, since it is larger than the sum of its proper divisors (145334258279).

1001020020121 is a wasteful number, since it uses less digits than its factorization.

1001020020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49755060.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001020020121 its reverse (1210200201001), we get a palindrome (2211220221122).

The spelling of 1001020020121 in words is "one trillion, one billion, twenty million, twenty thousand, one hundred twenty-one".