101222010 has 96 divisors (see below), whose sum is σ = 273695760. Its totient is φ = 25933824.

The previous prime is 101221979. The next prime is 101222021. The reversal of 101222010 is 10222101.

It can be written as a sum of positive squares in 8 ways, for example, as 12089529 + 89132481 = 3477^2 + 9441^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101221983 and 101222001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376156 + ... + 376424.

Almost surely, 2^101222010 is an apocalyptic number.

101222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136847880).

101222010 is an abundant number, since it is smaller than the sum of its proper divisors (172473750).

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

101222010 is a wasteful number, since it uses less digits than its factorization.

101222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101222010 is about 10060.9149683317. The cubic root of 101222010 is about 466.0419230766.

Adding to 101222010 its reverse (10222101), we get a palindrome (111444111).

Subtracting from 101222010 its reverse (10222101), we obtain a palindrome (90999909).

It can be divided in two parts, 101 and 222010, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 101222010 in words is "one hundred one million, two hundred twenty-two thousand, ten".