100000101601 has 2 divisors, whose sum is σ = 100000101602. Its totient is φ = 100000101600.

The previous prime is 100000101587. The next prime is 100000101611. The reversal of 100000101601 is 106101000001.

It is an a-pointer prime, because the next prime (100000101611) can be obtained adding 100000101601 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72079362576 + 27920739025 = 268476^2 + 167095^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000101601 - 2¹⁷ = 99999970529 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000101611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050800 + 50000050801.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050801).

Almost surely, 2^100000101601 is an apocalyptic number.

It is an amenable number.

100000101601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000101601 is an equidigital number, since it uses as much as digits as its factorization.

100000101601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100000101601 its reverse (106101000001), we get a palindrome (206101101602).

It can be divided in two parts, 100000 and 101601, that added together give a square (201601 = 449²).

The spelling of 100000101601 in words is "one hundred billion, one hundred one thousand, six hundred one".