101102002211129 has 2 divisors, whose sum is σ = 101102002211130. Its totient is φ = 101102002211128.

The previous prime is 101102002211099. The next prime is 101102002211131. The reversal of 101102002211129 is 921112200201101.

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., 100967368255504 + 134633955625 = 10048252^2 + 366925^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102002211129 - 2¹⁶ = 101102002145593 is a prime.

It is a super-2 number, since 2×101102002211129² (a number of 29 digits) contains 22 as substring.

Together with 101102002211131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101102002211429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551001105564 + 50551001105565.

It is an arithmetic number, because the mean of its divisors is an integer number (50551001105565).

Almost surely, 2^{101102002211129} is an apocalyptic number.

It is an amenable number.

101102002211129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102002211129 is an equidigital number, since it uses as much as digits as its factorization.

101102002211129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 101102002211129 in words is "one hundred one trillion, one hundred two billion, two million, two hundred eleven thousand, one hundred twenty-nine".