10011100220121 has 192 divisors, whose sum is σ = 18663307739136. Its totient is φ = 4632153926400.

The previous prime is 10011100220113. The next prime is 10011100220159. The reversal of 10011100220121 is 12102200111001.

It is not a de Polignac number, because 10011100220121 - 2³ = 10011100220113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011100220097 and 10011100220106.

It is not an unprimeable number, because it can be changed into a prime (10011100220171) 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 191 ways as a sum of consecutive naturals, for example, 130234720 + ... + 130311566.

It is an arithmetic number, because the mean of its divisors is an integer number (97204727808).

Almost surely, 2^{10011100220121} is an apocalyptic number.

10011100220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011100220121 is a deficient number, since it is larger than the sum of its proper divisors (8652207519015).

10011100220121 is a wasteful number, since it uses less digits than its factorization.

10011100220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77012 (or 76999 counting only the distinct ones).

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

Adding to 10011100220121 its reverse (12102200111001), we get a palindrome (22113300331122).

It can be divided in two parts, 10011 and 100220121, that multiplied together give a cube (1003303631331 = 10011³).

The spelling of 10011100220121 in words is "ten trillion, eleven billion, one hundred million, two hundred twenty thousand, one hundred twenty-one".