101238753798 has 256 divisors, whose sum is σ = 285659136000. Its totient is φ = 26191092096.

The previous prime is 101238753793. The next prime is 101238753809. The reversal of 101238753798 is 897357832101.

It is a happy number.

101238753798 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 87 + 537 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101238753793) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21093403 + ... + 21098201.

It is an arithmetic number, because the mean of its divisors is an integer number (1115856000).

Almost surely, 2^101238753798 is an apocalyptic number.

101238753798 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101238753798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142829568000).

101238753798 is an abundant number, since it is smaller than the sum of its proper divisors (184420382202).

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

101238753798 is an equidigital number, since it uses as much as digits as its factorization.

101238753798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 101238753798 in words is "one hundred one billion, two hundred thirty-eight million, seven hundred fifty-three thousand, seven hundred ninety-eight".