101001221010 has 96 divisors (see below), whose sum is σ = 273395743920. Its totient is φ = 25846677504.

The previous prime is 101001220979. The next prime is 101001221017. The reversal of 101001221010 is 10122100101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67959797481 + 33041423529 = 260691^2 + 181773^2 .

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 = 101001220983 and 101001221001.

It is not an unprimeable number, because it can be changed into a prime (101001221017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35346 + ... + 450834.

Almost surely, 2^101001221010 is an apocalyptic number.

101001221010 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 101001221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136697871960).

101001221010 is an abundant number, since it is smaller than the sum of its proper divisors (172394522910).

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

101001221010 is a wasteful number, since it uses less digits than its factorization.

101001221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415612 (or 415609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001221010 its reverse (10122100101), we get a palindrome (111123321111).

The spelling of 101001221010 in words is "one hundred one billion, one million, two hundred twenty-one thousand, ten".