101217050717101 has 24 divisors (see below), whose sum is σ = 112381401951000. Its totient is φ = 91084378704000.

The previous prime is 101217050717089. The next prime is 101217050717131. The reversal of 101217050717101 is 101717050712101.

It can be written as a sum of positive squares in 4 ways, for example, as 35491818165001 + 65725232552100 = 5957501^2 + 8107110^2 .

It is not a de Polignac number, because 101217050717101 - 2¹⁵ = 101217050684333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101217050717131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54682995 + ... + 56503663.

It is an arithmetic number, because the mean of its divisors is an integer number (4682558414625).

Almost surely, 2^{101217050717101} is an apocalyptic number.

101217050717101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101217050717101 is a deficient number, since it is larger than the sum of its proper divisors (11164351233899).

101217050717101 is a wasteful number, since it uses less digits than its factorization.

101217050717101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825341 (or 1825330 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 34.

The spelling of 101217050717101 in words is "one hundred one trillion, two hundred seventeen billion, fifty million, seven hundred seventeen thousand, one hundred one".