101288811512430 has 288 divisors, whose sum is σ = 274001883835680. Its totient is φ = 25958549260800.

The previous prime is 101288811512417. The next prime is 101288811512491. The reversal of 101288811512430 is 34215118882101.

101288811512430 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 88 + 11 + 512 + 43 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 28604576460 + ... + 28604580000.

It is an arithmetic number, because the mean of its divisors is an integer number (951395429985).

Almost surely, 2^{101288811512430} is an apocalyptic number.

101288811512430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101288811512430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000941917840).

101288811512430 is an abundant number, since it is smaller than the sum of its proper divisors (172713072323250).

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

101288811512430 is a wasteful number, since it uses less digits than its factorization.

101288811512430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 101288811512430 in words is "one hundred one trillion, two hundred eighty-eight billion, eight hundred eleven million, five hundred twelve thousand, four hundred thirty".