101610220240 has 120 divisors (see below), whose sum is σ = 245386068840. Its totient is φ = 39127495680.

The previous prime is 101610220223. The next prime is 101610220241. The reversal of 101610220240 is 42022016101.

It can be written as a sum of positive squares in 4 ways, for example, as 44750863936 + 56859356304 = 211544^2 + 238452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101610220241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15142006 + ... + 15148714.

It is an arithmetic number, because the mean of its divisors is an integer number (2044883907).

Almost surely, 2^101610220240 is an apocalyptic number.

101610220240 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 101610220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122693034420).

101610220240 is an abundant number, since it is smaller than the sum of its proper divisors (143775848600).

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

101610220240 is a wasteful number, since it uses less digits than its factorization.

101610220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101610220240 its reverse (42022016101), we get a palindrome (143632236341).

The spelling of 101610220240 in words is "one hundred one billion, six hundred ten million, two hundred twenty thousand, two hundred forty".