100210121122221 has 96 divisors (see below), whose sum is σ = 163589001338880. Its totient is φ = 58585708339200.

The previous prime is 100210121122219. The next prime is 100210121122289. The reversal of 100210121122221 is 122221121012001.

100210121122221 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 1 + 211 + 22 + 221 = 666.

It is not a de Polignac number, because 100210121122221 - 2¹ = 100210121122219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210121122194 and 100210121122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210121222221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096429101 + ... + 1096520493.

It is an arithmetic number, because the mean of its divisors is an integer number (1704052097280).

Almost surely, 2^{100210121122221} is an apocalyptic number.

100210121122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210121122221 is a deficient number, since it is larger than the sum of its proper divisors (63378880216659).

100210121122221 is a wasteful number, since it uses less digits than its factorization.

100210121122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94847 (or 94844 counting only the distinct ones).

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

Adding to 100210121122221 its reverse (122221121012001), we get a palindrome (222431242134222).

The spelling of 100210121122221 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".