100112101021001 has 2 divisors, whose sum is σ = 100112101021002. Its totient is φ = 100112101021000.

The previous prime is 100112101020923. The next prime is 100112101021019. The reversal of 100112101021001 is 100120101211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56841346062400 + 43270754958601 = 7539320^2 + 6578051^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112101021001 - 2⁴⁶ = 29743356843337 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112101021081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056050510500 + 50056050510501.

It is an arithmetic number, because the mean of its divisors is an integer number (50056050510501).

Almost surely, 2^{100112101021001} is an apocalyptic number.

It is an amenable number.

100112101021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112101021001 is an equidigital number, since it uses as much as digits as its factorization.

100112101021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112101021001 its reverse (100120101211001), we get a palindrome (200232202232002).

The spelling of 100112101021001 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, twenty-one thousand, one".