100106010562001 has 2 divisors, whose sum is σ = 100106010562002. Its totient is φ = 100106010562000.

The previous prime is 100106010561983. The next prime is 100106010562007. The reversal of 100106010562001 is 100265010601001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98148252720400 + 1957757841601 = 9906980^2 + 1399199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106010562001 - 2¹⁴ = 100106010545617 is a prime.

It is not a weakly prime, because it can be changed into another prime (100106010562007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053005281000 + 50053005281001.

It is an arithmetic number, because the mean of its divisors is an integer number (50053005281001).

Almost surely, 2^{100106010562001} is an apocalyptic number.

It is an amenable number.

100106010562001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106010562001 is an equidigital number, since it uses as much as digits as its factorization.

100106010562001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 23.

The spelling of 100106010562001 in words is "one hundred trillion, one hundred six billion, ten million, five hundred sixty-two thousand, one".