1011020101129 has 2 divisors, whose sum is σ = 1011020101130. Its totient is φ = 1011020101128.

The previous prime is 1011020101109. The next prime is 1011020101151. The reversal of 1011020101129 is 9211010201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1010869376400 + 150724729 = 1005420^2 + 12277^2 .

It is an emirp because it is prime and its reverse (9211010201101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011020101129 - 2¹⁷ = 1011019970057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011020101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505510050564 + 505510050565.

It is an arithmetic number, because the mean of its divisors is an integer number (505510050565).

Almost surely, 2^{1011020101129} is an apocalyptic number.

It is an amenable number.

1011020101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011020101129 is an equidigital number, since it uses as much as digits as its factorization.

1011020101129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 1011020101129 in words is "one trillion, eleven billion, twenty million, one hundred one thousand, one hundred twenty-nine".