100102122011 has 8 divisors (see below), whose sum is σ = 102558615264. Its totient is φ = 97646342080.

The previous prime is 100102121981. The next prime is 100102122017. The reversal of 100102122011 is 110221201001.

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

It is a cyclic number.

It is not a de Polignac number, because 100102122011 - 2⁶ = 100102121947 is a prime.

It is a super-2 number, since 2×100102122011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102121983 and 100102122001.

It is not an unprimeable number, because it can be changed into a prime (100102122017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111485 + ... + 461121.

It is an arithmetic number, because the mean of its divisors is an integer number (12819826908).

Almost surely, 2^100102122011 is an apocalyptic number.

100102122011 is a deficient number, since it is larger than the sum of its proper divisors (2456493253).

100102122011 is an equidigital number, since it uses as much as digits as its factorization.

100102122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356661.

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

Adding to 100102122011 its reverse (110221201001), we get a palindrome (210323323012).

The spelling of 100102122011 in words is "one hundred billion, one hundred two million, one hundred twenty-two thousand, eleven".