101102010 has 64 divisors (see below), whose sum is σ = 249519744. Its totient is φ = 26208000.

The previous prime is 101102003. The next prime is 101102039. The reversal of 101102010 is 10201101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101102010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184557 + ... + 185103.

It is an arithmetic number, because the mean of its divisors is an integer number (3898746).

Almost surely, 2^101102010 is an apocalyptic number.

101102010 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 101102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124759872).

101102010 is an abundant number, since it is smaller than the sum of its proper divisors (148417734).

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

101102010 is a wasteful number, since it uses less digits than its factorization.

101102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101102010 is about 10054.9495274715. The cubic root of 101102010 is about 465.8576840121.

Adding to 101102010 its reverse (10201101), we get a palindrome (111303111).

Subtracting from 101102010 its reverse (10201101), we obtain a palindrome (90900909).

The spelling of 101102010 in words is "one hundred one million, one hundred two thousand, ten".