100220112201001 has 8 divisors (see below), whose sum is σ = 107929811501064. Its totient is φ = 92510478600960.

The previous prime is 100220112200941. The next prime is 100220112201023. The reversal of 100220112201001 is 100102211022001.

It can be written as a sum of positive squares in 4 ways, for example, as 2109898597401 + 98110213603600 = 1452549^2 + 9905060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100220112201001 - 2¹⁷ = 100220112069929 is a prime.

It is a super-3 number, since 3×100220112201001³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220112201091) 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 7 ways as a sum of consecutive naturals, for example, 13233856 + ... + 19379761.

It is an arithmetic number, because the mean of its divisors is an integer number (13491226437633).

Almost surely, 2^{100220112201001} is an apocalyptic number.

It is an amenable number.

100220112201001 is a deficient number, since it is larger than the sum of its proper divisors (7709699300063).

100220112201001 is a wasteful number, since it uses less digits than its factorization.

100220112201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32850011.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100220112201001 its reverse (100102211022001), we get a palindrome (200322323223002).

The spelling of 100220112201001 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, two hundred one thousand, one".