100111102022011 has 16 divisors (see below), whose sum is σ = 101438538232320. Its totient is φ = 98792218546560.

The previous prime is 100111102021999. The next prime is 100111102022023. The reversal of 100111102022011 is 110220201111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100111102021999) and next prime (100111102022023).

It is a cyclic number.

It is not a de Polignac number, because 100111102022011 - 2⁵ = 100111102021979 is a prime.

It is a super-2 number, since 2×100111102022011² (a number of 29 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 = 100111102021982 and 100111102022000.

It is not an unprimeable number, because it can be changed into a prime (100111102022081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25989250 + ... + 29591608.

It is an arithmetic number, because the mean of its divisors is an integer number (6339908639520).

Almost surely, 2^{100111102022011} is an apocalyptic number.

100111102022011 is a deficient number, since it is larger than the sum of its proper divisors (1327436210309).

100111102022011 is a wasteful number, since it uses less digits than its factorization.

100111102022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603546.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111102022011 its reverse (110220201111001), we get a palindrome (210331303133012).

The spelling of 100111102022011 in words is "one hundred trillion, one hundred eleven billion, one hundred two million, twenty-two thousand, eleven".