101302102114400 has 1152 divisors, whose sum is σ = 299645991429120. Its totient is φ = 33021001728000.

The previous prime is 101302102114363. The next prime is 101302102114439. The reversal of 101302102114400 is 4411201203101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56815535909 + ... + 56815537691.

It is an arithmetic number, because the mean of its divisors is an integer number (260109367560).

Almost surely, 2^{101302102114400} is an apocalyptic number.

101302102114400 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 101302102114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149822995714560).

101302102114400 is an abundant number, since it is smaller than the sum of its proper divisors (198343889314720).

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

101302102114400 is a wasteful number, since it uses less digits than its factorization.

101302102114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101302102114400 its reverse (4411201203101), we get a palindrome (105713303317501).

The spelling of 101302102114400 in words is "one hundred one trillion, three hundred two billion, one hundred two million, one hundred fourteen thousand, four hundred".