100110222212121 has 192 divisors, whose sum is σ = 171757084262400. Its totient is φ = 55498436505600.

The previous prime is 100110222212113. The next prime is 100110222212129. The reversal of 100110222212121 is 121212222011001.

100110222212121 is a `hidden beast` number, since 1 + 0 + 0 + 110 + 222 + 212 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (100110222212113) and next prime (100110222212129).

It is not a de Polignac number, because 100110222212121 - 2³ = 100110222212113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110222212094 and 100110222212103.

It is not an unprimeable number, because it can be changed into a prime (100110222212129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24257381560 + ... + 24257385686.

It is an arithmetic number, because the mean of its divisors is an integer number (894568147200).

Almost surely, 2^{100110222212121} is an apocalyptic number.

100110222212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110222212121 is a deficient number, since it is larger than the sum of its proper divisors (71646862050279).

100110222212121 is a wasteful number, since it uses less digits than its factorization.

100110222212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100110222212121 its reverse (121212222011001), we get a palindrome (221322444223122).

The spelling of 100110222212121 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".