1012100100001 has 2 divisors, whose sum is σ = 1012100100002. Its totient is φ = 1012100100000.

The previous prime is 1012100099993. The next prime is 1012100100097. The reversal of 1012100100001 is 1000010012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 893885157025 + 118214942976 = 945455^2 + 343824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012100100001 - 2³ = 1012100099993 is a prime.

It is a super-2 number, since 2×1012100100001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1012100130001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050050000 + 506050050001.

It is an arithmetic number, because the mean of its divisors is an integer number (506050050001).

Almost surely, 2^{1012100100001} is an apocalyptic number.

It is an amenable number.

1012100100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012100100001 is an equidigital number, since it uses as much as digits as its factorization.

1012100100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1012100100001 its reverse (1000010012101), we get a palindrome (2012110112102).

The spelling of 1012100100001 in words is "one trillion, twelve billion, one hundred million, one hundred thousand, one".