101121100212163 has 2 divisors, whose sum is σ = 101121100212164. Its totient is φ = 101121100212162.

The previous prime is 101121100212127. The next prime is 101121100212179. The reversal of 101121100212163 is 361212001121101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101121100212163 - 2²⁹ = 101120563341251 is a prime.

It is a super-2 number, since 2×101121100212163² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101121100212263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560550106081 + 50560550106082.

It is an arithmetic number, because the mean of its divisors is an integer number (50560550106082).

Almost surely, 2^{101121100212163} is an apocalyptic number.

101121100212163 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121100212163 is an equidigital number, since it uses as much as digits as its factorization.

101121100212163 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 101121100212163 its reverse (361212001121101), we get a palindrome (462333101333264).

The spelling of 101121100212163 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, two hundred twelve thousand, one hundred sixty-three".