101005445153105 has 8 divisors (see below), whose sum is σ = 122020000857000. Its totient is φ = 80262045006976.

The previous prime is 101005445153057. The next prime is 101005445153111. The reversal of 101005445153105 is 501351544500101.

It can be written as a sum of positive squares in 4 ways, for example, as 2555253402256 + 98450191750849 = 1598516^2 + 9922207^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101005445153105 - 2¹⁴ = 101005445136721 is a prime.

It is a super-2 number, since 2×101005445153105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67788888620 + ... + 67788890109.

It is an arithmetic number, because the mean of its divisors is an integer number (15252500107125).

Almost surely, 2^{101005445153105} is an apocalyptic number.

It is an amenable number.

101005445153105 is a deficient number, since it is larger than the sum of its proper divisors (21014555703895).

101005445153105 is a wasteful number, since it uses less digits than its factorization.

101005445153105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135577778883.

The product of its (nonzero) digits is 30000, while the sum is 35.

Adding to 101005445153105 its reverse (501351544500101), we get a palindrome (602356989653206).

The spelling of 101005445153105 in words is "one hundred one trillion, five billion, four hundred forty-five million, one hundred fifty-three thousand, one hundred five".