101101122002119 has 2 divisors, whose sum is σ = 101101122002120. Its totient is φ = 101101122002118.

The previous prime is 101101122002047. The next prime is 101101122002123. The reversal of 101101122002119 is 911200221101101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101101122002119 - 2¹⁷ = 101101121871047 is a prime.

It is a super-2 number, since 2×101101122002119² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101101122002119.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101122002719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550561001059 + 50550561001060.

It is an arithmetic number, because the mean of its divisors is an integer number (50550561001060).

Almost surely, 2^{101101122002119} is an apocalyptic number.

101101122002119 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101122002119 is an equidigital number, since it uses as much as digits as its factorization.

101101122002119 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 101101122002119 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, two thousand, one hundred nineteen".