101121200202137 has 2 divisors, whose sum is σ = 101121200202138. Its totient is φ = 101121200202136.

The previous prime is 101121200202109. The next prime is 101121200202163. The reversal of 101121200202137 is 731202002121101.

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., 99833749155856 + 1287451046281 = 9991684^2 + 1134659^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121200202137 - 2¹² = 101121200198041 is a prime.

It is a super-3 number, since 3×101121200202137³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101121200222137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600101068 + 50560600101069.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600101069).

Almost surely, 2^{101121200202137} is an apocalyptic number.

It is an amenable number.

101121200202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121200202137 is an equidigital number, since it uses as much as digits as its factorization.

101121200202137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 101121200202137 its reverse (731202002121101), we get a palindrome (832323202323238).

The spelling of 101121200202137 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred million, two hundred two thousand, one hundred thirty-seven".