101012301001 has 2 divisors, whose sum is σ = 101012301002. Its totient is φ = 101012301000.

The previous prime is 101012300989. The next prime is 101012301007. The reversal of 101012301001 is 100103210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71783269776 + 29229031225 = 267924^2 + 170965^2 .

It is an emirp because it is prime and its reverse (100103210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101012301001 - 2¹⁵ = 101012268233 is a prime.

It is a super-4 number, since 4×101012301001⁴ (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (101012301007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506150500 + 50506150501.

It is an arithmetic number, because the mean of its divisors is an integer number (50506150501).

Almost surely, 2^101012301001 is an apocalyptic number.

It is an amenable number.

101012301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012301001 is an equidigital number, since it uses as much as digits as its factorization.

101012301001 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 101012301001 its reverse (100103210101), we get a palindrome (201115511102).

The spelling of 101012301001 in words is "one hundred one billion, twelve million, three hundred one thousand, one".