10100122121221 has 64 divisors (see below), whose sum is σ = 11639823213312. Its totient is φ = 8683545600000.

The previous prime is 10100122121209. The next prime is 10100122121231. The reversal of 10100122121221 is 12212122100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100122121221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100122121195 and 10100122121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100122121231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455544466 + ... + 455566636.

It is an arithmetic number, because the mean of its divisors is an integer number (181872237708).

Almost surely, 2^{10100122121221} is an apocalyptic number.

10100122121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100122121221 is a deficient number, since it is larger than the sum of its proper divisors (1539701092091).

10100122121221 is a wasteful number, since it uses less digits than its factorization.

10100122121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22534.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10100122121221 its reverse (12212122100101), we get a palindrome (22312244221322).

It can be divided in two parts, 101001 and 22121221, that added together give a palindrome (22222222).

The spelling of 10100122121221 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-one".