10041220101 has 64 divisors (see below), whose sum is σ = 15931883520. Its totient is φ = 5561149440.

The previous prime is 10041220081. The next prime is 10041220109. The reversal of 10041220101 is 10102214001.

It is a happy number.

It is not a de Polignac number, because 10041220101 - 2⁷ = 10041219973 is a prime.

It is a super-2 number, since 2×10041220101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041220109) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2132716 + ... + 2137418.

It is an arithmetic number, because the mean of its divisors is an integer number (248935680).

Almost surely, 2^10041220101 is an apocalyptic number.

10041220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10041220101 is a deficient number, since it is larger than the sum of its proper divisors (5890663419).

10041220101 is a wasteful number, since it uses less digits than its factorization.

10041220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10041220101 its reverse (10102214001), we get a palindrome (20143434102).

The spelling of 10041220101 in words is "ten billion, forty-one million, two hundred twenty thousand, one hundred one".