101020842 has 48 divisors (see below), whose sum is σ = 236581800. Its totient is φ = 30969216.

The previous prime is 101020771. The next prime is 101020849. The reversal of 101020842 is 248020101.

It can be written as a sum of positive squares in 4 ways, for example, as 90269001 + 10751841 = 9501^2 + 3279^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101020849) 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, 81048 + ... + 82284.

Almost surely, 2^101020842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118290900).

101020842 is an abundant number, since it is smaller than the sum of its proper divisors (135560958).

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

101020842 is a wasteful number, since it uses less digits than its factorization.

101020842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101020842 is about 10050.9124958881. The cubic root of 101020842 is about 465.7329820400.

Adding to 101020842 its reverse (248020101), we get a palindrome (349040943).

The spelling of 101020842 in words is "one hundred one million, twenty thousand, eight hundred forty-two".