101306229504480 has 2304 divisors, whose sum is σ = 491405006776320. Its totient is φ = 19157277081600.

The previous prime is 101306229504479. The next prime is 101306229504559. The reversal of 101306229504480 is 84405922603101.

101306229504480 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 62 + 2 + 9 + 504 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2149163472 + ... + 2149210608.

It is an arithmetic number, because the mean of its divisors is an integer number (213283423080).

Almost surely, 2^{101306229504480} is an apocalyptic number.

101306229504480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101306229504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245702503388160).

101306229504480 is an abundant number, since it is smaller than the sum of its proper divisors (390098777271840).

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

101306229504480 is a wasteful number, since it uses less digits than its factorization.

101306229504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47270 (or 47249 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 101306229504480 in words is "one hundred one trillion, three hundred six billion, two hundred twenty-nine million, five hundred four thousand, four hundred eighty".