10100211331120 has 20 divisors (see below), whose sum is σ = 23482991345040. Its totient is φ = 4040084532416.

The previous prime is 10100211331103. The next prime is 10100211331123. The reversal of 10100211331120 is 2113311200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10100211331094 and 10100211331103.

It is not an unprimeable number, because it can be changed into a prime (10100211331123) 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 3 ways as a sum of consecutive naturals, for example, 63126320740 + ... + 63126320899.

It is an arithmetic number, because the mean of its divisors is an integer number (1174149567252).

Almost surely, 2^{10100211331120} is an apocalyptic number.

10100211331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100211331120 is an abundant number, since it is smaller than the sum of its proper divisors (13382780013920).

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

10100211331120 is a wasteful number, since it uses less digits than its factorization.

10100211331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126252641652 (or 126252641646 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10100211331120 its reverse (2113311200101), we get a palindrome (12213522531221).

The spelling of 10100211331120 in words is "ten trillion, one hundred billion, two hundred eleven million, three hundred thirty-one thousand, one hundred twenty".