1011012102101 has 2 divisors, whose sum is σ = 1011012102102. Its totient is φ = 1011012102100.

The previous prime is 1011012102071. The next prime is 1011012102109. The reversal of 1011012102101 is 1012012101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 523285858225 + 487726243876 = 723385^2 + 698374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011012102101 - 2³⁴ = 993832232917 is a prime.

It is a super-2 number, since 2×1011012102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011012102109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505506051050 + 505506051051.

It is an arithmetic number, because the mean of its divisors is an integer number (505506051051).

Almost surely, 2^{1011012102101} is an apocalyptic number.

It is an amenable number.

1011012102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011012102101 is an equidigital number, since it uses as much as digits as its factorization.

1011012102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011012102101 its reverse (1012012101101), we get a palindrome (2023024203202).

The spelling of 1011012102101 in words is "one trillion, eleven billion, twelve million, one hundred two thousand, one hundred one".