101001009868877 has 2 divisors, whose sum is σ = 101001009868878. Its totient is φ = 101001009868876.

The previous prime is 101001009868853. The next prime is 101001009868921. The reversal of 101001009868877 is 778868900100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69443872223401 + 31557137645476 = 8333299^2 + 5617574^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001009868877 - 2⁸ = 101001009868621 is a prime.

It is a super-2 number, since 2×101001009868877² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001009868777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500504934438 + 50500504934439.

It is an arithmetic number, because the mean of its divisors is an integer number (50500504934439).

Almost surely, 2^{101001009868877} is an apocalyptic number.

It is an amenable number.

101001009868877 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001009868877 is an equidigital number, since it uses as much as digits as its factorization.

101001009868877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 56.

Adding to 101001009868877 its reverse (778868900100101), we get a palindrome (879869909968978).

The spelling of 101001009868877 in words is "one hundred one trillion, one billion, nine million, eight hundred sixty-eight thousand, eight hundred seventy-seven".