101001221100 has 432 divisors, whose sum is σ = 362742595488. Its totient is φ = 23285882880.

The previous prime is 101001221099. The next prime is 101001221107. The reversal of 101001221100 is 1122100101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101001221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45149182 + ... + 45151418.

It is an arithmetic number, because the mean of its divisors is an integer number (839681934).

Almost surely, 2^101001221100 is an apocalyptic number.

101001221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181371297744).

101001221100 is an abundant number, since it is smaller than the sum of its proper divisors (261741374388).

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

101001221100 is a wasteful number, since it uses less digits than its factorization.

101001221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2504 counting only the distinct ones).

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

Adding to 101001221100 its reverse (1122100101), we get a palindrome (102123321201).

The spelling of 101001221100 in words is "one hundred one billion, one million, two hundred twenty-one thousand, one hundred".