20101002221001 has 16 divisors (see below), whose sum is σ = 30560799757824. Its totient is φ = 11642209430784.

The previous prime is 20101002220963. The next prime is 20101002221011. The reversal of 20101002221001 is 10012220010102.

It is not a de Polignac number, because 20101002221001 - 2¹⁸ = 20101001958857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20101002221011) 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 15 ways as a sum of consecutive naturals, for example, 15159126201 + ... + 15159127526.

It is an arithmetic number, because the mean of its divisors is an integer number (1910049984864).

Almost surely, 2^{20101002221001} is an apocalyptic number.

It is an amenable number.

20101002221001 is a deficient number, since it is larger than the sum of its proper divisors (10459797536823).

20101002221001 is a wasteful number, since it uses less digits than its factorization.

20101002221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30318253760.

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

Adding to 20101002221001 its reverse (10012220010102), we get a palindrome (30113222231103).

The spelling of 20101002221001 in words is "twenty trillion, one hundred one billion, two million, two hundred twenty-one thousand, one".