101021019198 has 256 divisors, whose sum is σ = 249967171584. Its totient is φ = 26838056960.

The previous prime is 101021019191. The next prime is 101021019199. The reversal of 101021019198 is 891910120101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021019191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318678136 + ... + 318678452.

It is an arithmetic number, because the mean of its divisors is an integer number (976434264).

Almost surely, 2^101021019198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021019198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124983585792).

101021019198 is an abundant number, since it is smaller than the sum of its proper divisors (148946152386).

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

101021019198 is a wasteful number, since it uses less digits than its factorization.

101021019198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its (nonzero) digits is 1296, while the sum is 33.

Adding to 101021019198 its reverse (891910120101), we get a palindrome (992931139299).

The spelling of 101021019198 in words is "one hundred one billion, twenty-one million, nineteen thousand, one hundred ninety-eight".