100101201201001 has 32 divisors (see below), whose sum is σ = 134421799147776. Its totient is φ = 71990049888000.

The previous prime is 100101201200981. The next prime is 100101201201019. The reversal of 100101201201001 is 100102102101001.

It is a cyclic number.

It is not a de Polignac number, because 100101201201001 - 2²¹ = 100101199103849 is a prime.

It is a super-4 number, since 4×100101201201001⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101201201031) 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 31 ways as a sum of consecutive naturals, for example, 838810 + ... + 14174131.

It is an arithmetic number, because the mean of its divisors is an integer number (4200681223368).

Almost surely, 2^{100101201201001} is an apocalyptic number.

100101201201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101201201001 is a deficient number, since it is larger than the sum of its proper divisors (34320597946775).

100101201201001 is a wasteful number, since it uses less digits than its factorization.

100101201201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15019633.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101201201001 its reverse (100102102101001), we get a palindrome (200203303302002).

The spelling of 100101201201001 in words is "one hundred trillion, one hundred one billion, two hundred one million, two hundred one thousand, one".