100001122120010 has 8 divisors (see below), whose sum is σ = 180002019816036. Its totient is φ = 40000448848000.

The previous prime is 100001122120007. The next prime is 100001122120013. The reversal of 100001122120010 is 10021221100001.

It is an interprime number because it is at equal distance from previous prime (100001122120007) and next prime (100001122120013).

It can be written as a sum of positive squares in 2 ways, for example, as 97170325965001 + 2830796155009 = 9857501^2 + 1682497^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×100001122120010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001122119973 and 100001122120000.

It is not an unprimeable number, because it can be changed into a prime (100001122120013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5000056105991 + ... + 5000056106010.

Almost surely, 2^{100001122120010} is an apocalyptic number.

100001122120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001122120010 is a deficient number, since it is larger than the sum of its proper divisors (80000897696026).

100001122120010 is a wasteful number, since it uses less digits than its factorization.

100001122120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000112212008.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100001122120010 its reverse (10021221100001), we get a palindrome (110022343220011).

The spelling of 100001122120010 in words is "one hundred trillion, one billion, one hundred twenty-two million, one hundred twenty thousand, ten".