100120022101011 has 16 divisors (see below), whose sum is σ = 145629575900928. Its totient is φ = 60678612588000.

The previous prime is 100120022100991. The next prime is 100120022101079. The reversal of 100120022101011 is 110101220021001.

It is not a de Polignac number, because 100120022101011 - 2¹¹ = 100120022098963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100120022101111) 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, 6450661 + ... + 15551561.

It is an arithmetic number, because the mean of its divisors is an integer number (9101848493808).

Almost surely, 2^{100120022101011} is an apocalyptic number.

100120022101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100120022101011 is a deficient number, since it is larger than the sum of its proper divisors (45509553799917).

100120022101011 is a wasteful number, since it uses less digits than its factorization.

100120022101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434282.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100120022101011 its reverse (110101220021001), we get a palindrome (210221242122012).

The spelling of 100120022101011 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, one hundred one thousand, eleven".