1012022102101 has 2 divisors, whose sum is σ = 1012022102102. Its totient is φ = 1012022102100.

The previous prime is 1012022102009. The next prime is 1012022102123. The reversal of 1012022102101 is 1012012202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 874103454225 + 137918647876 = 934935^2 + 371374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012022102101 - 2²⁷ = 1011887884373 is a prime.

It is a super-2 number, since 2×1012022102101² (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 (1012022102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506011051050 + 506011051051.

It is an arithmetic number, because the mean of its divisors is an integer number (506011051051).

Almost surely, 2^{1012022102101} is an apocalyptic number.

It is an amenable number.

1012022102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012022102101 is an equidigital number, since it uses as much as digits as its factorization.

1012022102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012022102101 its reverse (1012012202101), we get a palindrome (2024034304202).

The spelling of 1012022102101 in words is "one trillion, twelve billion, twenty-two million, one hundred two thousand, one hundred one".