10112121001 has 2 divisors, whose sum is σ = 10112121002. Its totient is φ = 10112121000.

The previous prime is 10112120987. The next prime is 10112121011. The reversal of 10112121001 is 10012121101.

It is an a-pointer prime, because the next prime (10112121011) can be obtained adding 10112121001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8048781225 + 2063339776 = 89715^2 + 45424^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112121001 - 2¹⁹ = 10111596713 is a prime.

It is a super-2 number, since 2×10112121001² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10112121011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056060500 + 5056060501.

It is an arithmetic number, because the mean of its divisors is an integer number (5056060501).

Almost surely, 2^10112121001 is an apocalyptic number.

It is an amenable number.

10112121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112121001 is an equidigital number, since it uses as much as digits as its factorization.

10112121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10112121001 its reverse (10012121101), we get a palindrome (20124242102).

The spelling of 10112121001 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, one".