101002820 has 12 divisors (see below), whose sum is σ = 212105964. Its totient is φ = 40401120.

The previous prime is 101002817. The next prime is 101002861. The reversal of 101002820 is 28200101.

It can be written as a sum of positive squares in 2 ways, for example, as 78039556 + 22963264 = 8834^2 + 4792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101002795 and 101002804.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525051 + ... + 2525090.

It is an arithmetic number, because the mean of its divisors is an integer number (17675497).

Almost surely, 2^101002820 is an apocalyptic number.

101002820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002820 is an abundant number, since it is smaller than the sum of its proper divisors (111103144).

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

101002820 is a wasteful number, since it uses less digits than its factorization.

101002820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050150 (or 5050148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101002820 is about 10050.0159203854. The cubic root of 101002820 is about 465.7052849865.

Adding to 101002820 its reverse (28200101), we get a palindrome (129202921).

The spelling of 101002820 in words is "one hundred one million, two thousand, eight hundred twenty".