101301022020 has 192 divisors, whose sum is σ = 318119622912. Its totient is φ = 23869440000.

The previous prime is 101301021977. The next prime is 101301022037. The reversal of 101301022020 is 20220103101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101301021987 and 101301022005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36164620 + ... + 36167420.

It is an arithmetic number, because the mean of its divisors is an integer number (1656873036).

Almost surely, 2^101301022020 is an apocalyptic number.

101301022020 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 101301022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159059811456).

101301022020 is an abundant number, since it is smaller than the sum of its proper divisors (216818600892).

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

101301022020 is a wasteful number, since it uses less digits than its factorization.

101301022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101301022020 its reverse (20220103101), we get a palindrome (121521125121).

The spelling of 101301022020 in words is "one hundred one billion, three hundred one million, twenty-two thousand, twenty".