101012100001 has 4 divisors (see below), whose sum is σ = 101015072404. Its totient is φ = 101009127600.

The previous prime is 101012099933. The next prime is 101012100019. The reversal of 101012100001 is 100001210101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100001210101 = 13 ⋅7692400777.

It can be written as a sum of positive squares in 2 ways, for example, as 65262366225 + 35749733776 = 255465^2 + 189076^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012100001 - 2¹³ = 101012091809 is a prime.

It is a super-2 number, since 2×101012100001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1434630 + ... + 1503391.

It is an arithmetic number, because the mean of its divisors is an integer number (25253768101).

Almost surely, 2^101012100001 is an apocalyptic number.

It is an amenable number.

101012100001 is a deficient number, since it is larger than the sum of its proper divisors (2972403).

101012100001 is an equidigital number, since it uses as much as digits as its factorization.

101012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972402.

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

Adding to 101012100001 its reverse (100001210101), we get a palindrome (201013310102).

The spelling of 101012100001 in words is "one hundred one billion, twelve million, one hundred thousand, one".