101006655101 has 4 divisors (see below), whose sum is σ = 110189078304. Its totient is φ = 91824231900.

The previous prime is 101006655091. The next prime is 101006655121. The reversal of 101006655101 is 101556600101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101006655101 - 2¹⁸ = 101006392957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006655121) 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 in 3 ways as a sum of consecutive naturals, for example, 4591211585 + ... + 4591211606.

It is an arithmetic number, because the mean of its divisors is an integer number (27547269576).

Almost surely, 2^101006655101 is an apocalyptic number.

101006655101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101006655101 is a deficient number, since it is larger than the sum of its proper divisors (9182423203).

101006655101 is an equidigital number, since it uses as much as digits as its factorization.

101006655101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182423202.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 101006655101 in words is "one hundred one billion, six million, six hundred fifty-five thousand, one hundred one".