101480873126754 has 96 divisors (see below), whose sum is σ = 228632279057280. Its totient is φ = 29988493920000.

The previous prime is 101480873126753. The next prime is 101480873126783. The reversal of 101480873126754 is 457621378084101.

It is a super-2 number, since 2×101480873126754² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101480873126694 and 101480873126703.

It is not an unprimeable number, because it can be changed into a prime (101480873126753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66787779 + ... + 68290329.

It is an arithmetic number, because the mean of its divisors is an integer number (2381586240180).

Almost surely, 2^{101480873126754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101480873126754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114316139528640).

101480873126754 is an abundant number, since it is smaller than the sum of its proper divisors (127151405930526).

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

101480873126754 is a wasteful number, since it uses less digits than its factorization.

101480873126754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504888 (or 1504877 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 101480873126754 in words is "one hundred one trillion, four hundred eighty billion, eight hundred seventy-three million, one hundred twenty-six thousand, seven hundred fifty-four".