101430282416112 has 240 divisors, whose sum is σ = 306883706831520. Its totient is φ = 31088656023552.

The previous prime is 101430282416093. The next prime is 101430282416137. The reversal of 101430282416112 is 211614282034101.

101430282416112 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 30 + 2 + 8 + 2 + 4 + 1 + 611 + 2 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521103064 + ... + 521297672.

It is an arithmetic number, because the mean of its divisors is an integer number (1278682111798).

Almost surely, 2^{101430282416112} is an apocalyptic number.

101430282416112 is a gapful number since it is divisible by the number (12) 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 101430282416112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153441853415760).

101430282416112 is an abundant number, since it is smaller than the sum of its proper divisors (205453424415408).

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

101430282416112 is a wasteful number, since it uses less digits than its factorization.

101430282416112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195712 (or 195703 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 101430282416112 in words is "one hundred one trillion, four hundred thirty billion, two hundred eighty-two million, four hundred sixteen thousand, one hundred twelve".