101102000100121 has 2 divisors, whose sum is σ = 101102000100122. Its totient is φ = 101102000100120.

The previous prime is 101102000100083. The next prime is 101102000100139. The reversal of 101102000100121 is 121001000201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91488000684096 + 9613999416025 = 9564936^2 + 3100645^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102000100121 - 2⁴¹ = 98902976844569 is a prime.

It is a super-2 number, since 2×101102000100121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102000100098 and 101102000100107.

It is not a weakly prime, because it can be changed into another prime (101102000100191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551000050060 + 50551000050061.

It is an arithmetic number, because the mean of its divisors is an integer number (50551000050061).

Almost surely, 2^{101102000100121} is an apocalyptic number.

It is an amenable number.

101102000100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102000100121 is an equidigital number, since it uses as much as digits as its factorization.

101102000100121 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 101102000100121 its reverse (121001000201101), we get a palindrome (222103000301222).

The spelling of 101102000100121 in words is "one hundred one trillion, one hundred two billion, one hundred thousand, one hundred twenty-one".