101000112112001 has 2 divisors, whose sum is σ = 101000112112002. Its totient is φ = 101000112112000.

The previous prime is 101000112111989. The next prime is 101000112112019. The reversal of 101000112112001 is 100211211000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81540015062401 + 19460097049600 = 9029951^2 + 4411360^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000112112001 - 2⁶ = 101000112111937 is a prime.

It is a super-2 number, since 2×101000112112001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101000112112901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500056056000 + 50500056056001.

It is an arithmetic number, because the mean of its divisors is an integer number (50500056056001).

Almost surely, 2^{101000112112001} is an apocalyptic number.

It is an amenable number.

101000112112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000112112001 is an equidigital number, since it uses as much as digits as its factorization.

101000112112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101000112112001 its reverse (100211211000101), we get a palindrome (201211323112102).

The spelling of 101000112112001 in words is "one hundred one trillion, one hundred twelve million, one hundred twelve thousand, one".