101296375842816 has 1920 divisors, whose sum is σ = 385395192000000. Its totient is φ = 26069113405440.

The previous prime is 101296375842793. The next prime is 101296375842821. The reversal of 101296375842816 is 618248573692101.

It is a happy number.

101296375842816 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 6 + 37 + 584 + 2 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 202998748935 + ... + 202998749433.

It is an arithmetic number, because the mean of its divisors is an integer number (200726662500).

It is a 1-persistent number, because it is pandigital, but 2⋅101296375842816 = 202592751685632 is not.

Almost surely, 2^{101296375842816} is an apocalyptic number.

101296375842816 is a gapful number since it is divisible by the number (16) 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 101296375842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192697596000000).

101296375842816 is an abundant number, since it is smaller than the sum of its proper divisors (284098816157184).

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

101296375842816 is an equidigital number, since it uses as much as digits as its factorization.

101296375842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 101296375842816 in words is "one hundred one trillion, two hundred ninety-six billion, three hundred seventy-five million, eight hundred forty-two thousand, eight hundred sixteen".