100020121202001 has 96 divisors (see below), whose sum is σ = 184027180151808. Its totient is φ = 46665432495360.

The previous prime is 100020121201993. The next prime is 100020121202051. The reversal of 100020121202001 is 100202121020001.

It is not a de Polignac number, because 100020121202001 - 2³ = 100020121201993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100020121202051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8053515 + ... + 16275728.

It is an arithmetic number, because the mean of its divisors is an integer number (1916949793248).

Almost surely, 2^{100020121202001} is an apocalyptic number.

100020121202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020121202001 is a deficient number, since it is larger than the sum of its proper divisors (84007058949807).

100020121202001 is a wasteful number, since it uses less digits than its factorization.

100020121202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24329351 (or 24329314 counting only the distinct ones).

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

Adding to 100020121202001 its reverse (100202121020001), we get a palindrome (200222242222002).

The spelling of 100020121202001 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, two hundred two thousand, one".