101481654141540 has 192 divisors, whose sum is σ = 335443543142400. Its totient is φ = 25397867716992.

The previous prime is 101481654141503. The next prime is 101481654141563. The reversal of 101481654141540 is 45141456184101.

It is a happy number.

101481654141540 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 8 + 1 + 65 + 4 + 1 + 41 + 540 = 666.

It is a super-2 number, since 2×101481654141540² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45121804 + ... + 47317443.

It is an arithmetic number, because the mean of its divisors is an integer number (1747101787200).

Almost surely, 2^{101481654141540} is an apocalyptic number.

101481654141540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101481654141540 is an abundant number, since it is smaller than the sum of its proper divisors (233961889000860).

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

101481654141540 is a wasteful number, since it uses less digits than its factorization.

101481654141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92439391 (or 92439383 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 101481654141540 in words is "one hundred one trillion, four hundred eighty-one billion, six hundred fifty-four million, one hundred forty-one thousand, five hundred forty".