101021200110121 has 2 divisors, whose sum is σ = 101021200110122. Its totient is φ = 101021200110120.

The previous prime is 101021200110071. The next prime is 101021200110163. The reversal of 101021200110121 is 121011002120101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94067109392400 + 6954090717721 = 9698820^2 + 2637061^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021200110121 - 2³⁹ = 100471444296233 is a prime.

It is a super-2 number, since 2×101021200110121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101021200110191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510600055060 + 50510600055061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510600055061).

Almost surely, 2^{101021200110121} is an apocalyptic number.

It is an amenable number.

101021200110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021200110121 is an equidigital number, since it uses as much as digits as its factorization.

101021200110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021200110121 its reverse (121011002120101), we get a palindrome (222032202230222).

The spelling of 101021200110121 in words is "one hundred one trillion, twenty-one billion, two hundred million, one hundred ten thousand, one hundred twenty-one".