101216010 has 64 divisors (see below), whose sum is σ = 281014272. Its totient is φ = 22852416.

The previous prime is 101215999. The next prime is 101216041. The reversal of 101216010 is 10612101.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 14527 + ... + 20333.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 2^101216010 is an apocalyptic number.

101216010 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 101216010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140507136).

101216010 is an abundant number, since it is smaller than the sum of its proper divisors (179798262).

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

101216010 is a wasteful number, since it uses less digits than its factorization.

101216010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101216010 is about 10060.6167802973. The cubic root of 101216010 is about 466.0327145827.

Adding to 101216010 its reverse (10612101), we get a palindrome (111828111).

It can be divided in two parts, 10 and 1216010, that added together give a triangular number (1216020 = T₁₅₅₉).

The spelling of 101216010 in words is "one hundred one million, two hundred sixteen thousand, ten".