100110020202001 has 2 divisors, whose sum is σ = 100110020202002. Its totient is φ = 100110020202000.

The previous prime is 100110020201993. The next prime is 100110020202079. The reversal of 100110020202001 is 100202020011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73345538768401 + 26764481433600 = 8564201^2 + 5173440^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110020202001 - 2³ = 100110020201993 is a prime.

It is a super-2 number, since 2×100110020202001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110020202301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055010101000 + 50055010101001.

It is an arithmetic number, because the mean of its divisors is an integer number (50055010101001).

Almost surely, 2^{100110020202001} is an apocalyptic number.

It is an amenable number.

100110020202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110020202001 is an equidigital number, since it uses as much as digits as its factorization.

100110020202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100110020202001 its reverse (100202020011001), we get a palindrome (200312040213002).

It can be divided in two parts, 1001 and 10020202001, that multiplied together give a palindrome (10030222203001).

The spelling of 100110020202001 in words is "one hundred trillion, one hundred ten billion, twenty million, two hundred two thousand, one".