101516071020 has 192 divisors, whose sum is σ = 351501997056. Its totient is φ = 21317022720.

The previous prime is 101516070983. The next prime is 101516071021. The reversal of 101516071020 is 20170615101.

It is not an unprimeable number, because it can be changed into a prime (101516071021) by changing a digit.

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, 1108002 + ... + 1196118.

It is an arithmetic number, because the mean of its divisors is an integer number (1830739568).

Almost surely, 2^101516071020 is an apocalyptic number.

101516071020 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 101516071020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175750998528).

101516071020 is an abundant number, since it is smaller than the sum of its proper divisors (249985926036).

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

101516071020 is a wasteful number, since it uses less digits than its factorization.

101516071020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88360 (or 88358 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 101516071020 its reverse (20170615101), we get a palindrome (121686686121).

The spelling of 101516071020 in words is "one hundred one billion, five hundred sixteen million, seventy-one thousand, twenty".