1010102031121 has 2 divisors, whose sum is σ = 1010102031122. Its totient is φ = 1010102031120.

The previous prime is 1010102031101. The next prime is 1010102031137. The reversal of 1010102031121 is 1211302010101.

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., 527132629521 + 482969401600 = 726039^2 + 694960^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010102031121 - 2⁵ = 1010102031089 is a prime.

It is a super-2 number, since 2×1010102031121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010102031101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505051015560 + 505051015561.

It is an arithmetic number, because the mean of its divisors is an integer number (505051015561).

Almost surely, 2^{1010102031121} is an apocalyptic number.

It is an amenable number.

1010102031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010102031121 is an equidigital number, since it uses as much as digits as its factorization.

1010102031121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1010102031121 its reverse (1211302010101), we get a palindrome (2221404041222).

The spelling of 1010102031121 in words is "one trillion, ten billion, one hundred two million, thirty-one thousand, one hundred twenty-one".