100100022022011 has 32 divisors (see below), whose sum is σ = 147778569969408. Its totient is φ = 59759022090240.

The previous prime is 100100022022001. The next prime is 100100022022081. The reversal of 100100022022011 is 110220220001001.

It is not a de Polignac number, because 100100022022011 - 2²² = 100100017827707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100022022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60689611 + ... + 62317163.

It is an arithmetic number, because the mean of its divisors is an integer number (4618080311544).

Almost surely, 2^{100100022022011} is an apocalyptic number.

100100022022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100022022011 is a deficient number, since it is larger than the sum of its proper divisors (47678547947397).

100100022022011 is a wasteful number, since it uses less digits than its factorization.

100100022022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655451.

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

Adding to 100100022022011 its reverse (110220220001001), we get a palindrome (210320242023012).

The spelling of 100100022022011 in words is "one hundred trillion, one hundred billion, twenty-two million, twenty-two thousand, eleven".