101233034772480 has 480 divisors, whose sum is σ = 387615627470400. Its totient is φ = 24918893789184.

The previous prime is 101233034772461. The next prime is 101233034772491. The reversal of 101233034772480 is 84277430332101.

101233034772480 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 330 + 3 + 4 + 77 + 248 + 0 = 666.

101233034772480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×101233034772480² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 26993586 + ... + 30514254.

It is an arithmetic number, because the mean of its divisors is an integer number (807532557230).

Almost surely, 2^{101233034772480} is an apocalyptic number.

101233034772480 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 101233034772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193807813735200).

101233034772480 is an abundant number, since it is smaller than the sum of its proper divisors (286382592697920).

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

101233034772480 is an equidigital number, since it uses as much as digits as its factorization.

101233034772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520724 (or 3520692 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 101233034772480 in words is "one hundred one trillion, two hundred thirty-three billion, thirty-four million, seven hundred seventy-two thousand, four hundred eighty".