101002242105 has 12 divisors (see below), whose sum is σ = 175070553060. Its totient is φ = 53867862432.

The previous prime is 101002242083. The next prime is 101002242127. The reversal of 101002242105 is 501242200101.

It is an interprime number because it is at equal distance from previous prime (101002242083) and next prime (101002242127).

It can be written as a sum of positive squares in 2 ways, for example, as 25591040784 + 75411201321 = 159972^2 + 274611^2 .

It is not a de Polignac number, because 101002242105 - 2⁵ = 101002242073 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122247090 + ... + 1122247179.

It is an arithmetic number, because the mean of its divisors is an integer number (14589212755).

Almost surely, 2^101002242105 is an apocalyptic number.

101002242105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101002242105 is a deficient number, since it is larger than the sum of its proper divisors (74068310955).

101002242105 is a wasteful number, since it uses less digits than its factorization.

101002242105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244494280 (or 2244494277 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 101002242105 its reverse (501242200101), we get a palindrome (602244442206).

The spelling of 101002242105 in words is "one hundred one billion, two million, two hundred forty-two thousand, one hundred five".