1101000101129 has 2 divisors, whose sum is σ = 1101000101130. Its totient is φ = 1101000101128.

The previous prime is 1101000101111. The next prime is 1101000101137. The reversal of 1101000101129 is 9211010001011.

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., 729324540025 + 371675561104 = 854005^2 + 609652^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101000101129 - 2²⁸ = 1100731665673 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101000151129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500050564 + 550500050565.

It is an arithmetic number, because the mean of its divisors is an integer number (550500050565).

Almost surely, 2^{1101000101129} is an apocalyptic number.

It is an amenable number.

1101000101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101000101129 is an equidigital number, since it uses as much as digits as its factorization.

1101000101129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 1101000101129 in words is "one trillion, one hundred one billion, one hundred one thousand, one hundred twenty-nine".