101434016065500 has 144 divisors (see below), whose sum is σ = 336832115387040. Its totient is φ = 25625435616000.

The previous prime is 101434016065441. The next prime is 101434016065561. The reversal of 101434016065500 is 5560610434101.

101434016065500 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 40 + 1 + 60 + 6 + 550 + 0 = 666.

It is a super-2 number, since 2×101434016065500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593095881 + ... + 593266880.

It is an arithmetic number, because the mean of its divisors is an integer number (2339111912410).

Almost surely, 2^{101434016065500} is an apocalyptic number.

101434016065500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101434016065500 is an abundant number, since it is smaller than the sum of its proper divisors (235398099321540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101434016065500 is a wasteful number, since it uses less digits than its factorization.

101434016065500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186362805 (or 1186362790 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 101434016065500 its reverse (5560610434101), we get a palindrome (106994626499601).

The spelling of 101434016065500 in words is "one hundred one trillion, four hundred thirty-four billion, sixteen million, sixty-five thousand, five hundred".