101366454420 has 288 divisors, whose sum is σ = 396570021120. Its totient is φ = 20336762880.

The previous prime is 101366454401. The next prime is 101366454443. The reversal of 101366454420 is 24454663101.

101366454420 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 645 + 4 + 4 + 2 + 0 = 666.

It is a super-3 number, since 3×101366454420³ (a number of 34 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275844 + ... + 528036.

It is an arithmetic number, because the mean of its divisors is an integer number (1376979240).

Almost surely, 2^101366454420 is an apocalyptic number.

101366454420 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 101366454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198285010560).

101366454420 is an abundant number, since it is smaller than the sum of its proper divisors (295203566700).

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

101366454420 is a wasteful number, since it uses less digits than its factorization.

101366454420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252255 (or 252250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 101366454420 in words is "one hundred one billion, three hundred sixty-six million, four hundred fifty-four thousand, four hundred twenty".