101101221122010 has 128 divisors (see below), whose sum is σ = 252225993277440. Its totient is φ = 25913288814336.

The previous prime is 101101221121993. The next prime is 101101221122017. The reversal of 101101221122010 is 10221122101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101221122017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1173600999 + ... + 1173687141.

It is an arithmetic number, because the mean of its divisors is an integer number (1970515572480).

Almost surely, 2^{101101221122010} is an apocalyptic number.

101101221122010 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 101101221122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126112996638720).

101101221122010 is an abundant number, since it is smaller than the sum of its proper divisors (151124772155430).

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

101101221122010 is a wasteful number, since it uses less digits than its factorization.

101101221122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99012.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101221122010 its reverse (10221122101101), we get a palindrome (111322343223111).

The spelling of 101101221122010 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, ten".