100200102101041 has 2 divisors, whose sum is σ = 100200102101042. Its totient is φ = 100200102101040.

The previous prime is 100200102100999. The next prime is 100200102101101. The reversal of 100200102101041 is 140101201002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100173995620416 + 26106480625 = 10008696^2 + 161575^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200102101041 - 2¹⁵ = 100200102068273 is a prime.

It is a super-2 number, since 2×100200102101041² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100200102101741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100051050520 + 50100051050521.

It is an arithmetic number, because the mean of its divisors is an integer number (50100051050521).

Almost surely, 2^{100200102101041} is an apocalyptic number.

It is an amenable number.

100200102101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200102101041 is an equidigital number, since it uses as much as digits as its factorization.

100200102101041 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100200102101041 its reverse (140101201002001), we get a palindrome (240301303103042).

The spelling of 100200102101041 in words is "one hundred trillion, two hundred billion, one hundred two million, one hundred one thousand, forty-one".