101245120105 has 32 divisors (see below), whose sum is σ = 124426816416. Its totient is φ = 79057864704.

The previous prime is 101245120061. The next prime is 101245120147. The reversal of 101245120105 is 501021542101.

It can be written as a sum of positive squares in 16 ways, for example, as 6961732969 + 94283387136 = 83437^2 + 307056^2 .

It is a cyclic number.

It is not a de Polignac number, because 101245120105 - 2⁷ = 101245119977 is a prime.

It is a super-2 number, since 2×101245120105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84865389 + ... + 84866581.

It is an arithmetic number, because the mean of its divisors is an integer number (3888338013).

Almost surely, 2^101245120105 is an apocalyptic number.

It is an amenable number.

101245120105 is a deficient number, since it is larger than the sum of its proper divisors (23181696311).

101245120105 is a wasteful number, since it uses less digits than its factorization.

101245120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637.

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 101245120105 its reverse (501021542101), we get a palindrome (602266662206).

The spelling of 101245120105 in words is "one hundred one billion, two hundred forty-five million, one hundred twenty thousand, one hundred five".