101200121211157 has 2 divisors, whose sum is σ = 101200121211158. Its totient is φ = 101200121211156.

The previous prime is 101200121211083. The next prime is 101200121211169. The reversal of 101200121211157 is 751112121002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52718548648516 + 48481572562641 = 7260754^2 + 6962871^2 .

It is an emirp because it is prime and its reverse (751112121002101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101200121211157 is a prime.

It is a super-3 number, since 3×101200121211157³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200121211187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600060605578 + 50600060605579.

It is an arithmetic number, because the mean of its divisors is an integer number (50600060605579).

Almost surely, 2^{101200121211157} is an apocalyptic number.

It is an amenable number.

101200121211157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200121211157 is an equidigital number, since it uses as much as digits as its factorization.

101200121211157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 25.

Adding to 101200121211157 its reverse (751112121002101), we get a palindrome (852312242213258).

The spelling of 101200121211157 in words is "one hundred one trillion, two hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred fifty-seven".