101551621152105 has 48 divisors (see below), whose sum is σ = 177670534938624. Its totient is φ = 53653887440640.

The previous prime is 101551621152103. The next prime is 101551621152139. The reversal of 101551621152105 is 501251126155101.

101551621152105 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 5 + 1 + 621 + 1 + 5 + 21 + 0 + 5 = 666.

It is not a de Polignac number, because 101551621152105 - 2¹ = 101551621152103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101551621152105.

It is not an unprimeable number, because it can be changed into a prime (101551621152103) 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 47 ways as a sum of consecutive naturals, for example, 465487000 + ... + 465705110.

It is an arithmetic number, because the mean of its divisors is an integer number (3701469477888).

Almost surely, 2^{101551621152105} is an apocalyptic number.

101551621152105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101551621152105 is a deficient number, since it is larger than the sum of its proper divisors (76118913786519).

101551621152105 is a wasteful number, since it uses less digits than its factorization.

101551621152105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314926 (or 314923 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 36.

The spelling of 101551621152105 in words is "one hundred one trillion, five hundred fifty-one billion, six hundred twenty-one million, one hundred fifty-two thousand, one hundred five".