100214122401 has 16 divisors (see below), whose sum is σ = 148639451520. Its totient is φ = 66731076720.

The previous prime is 100214122399. The next prime is 100214122403. The reversal of 100214122401 is 104221412001.

100214122401 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 412 + 240 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100214122399) and next prime (100214122403).

It is not a de Polignac number, because 100214122401 - 2¹ = 100214122399 is a prime.

It is a super-2 number, since 2×100214122401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100214122403) 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 15 ways as a sum of consecutive naturals, for example, 2152605 + ... + 2198666.

It is an arithmetic number, because the mean of its divisors is an integer number (9289965720).

Almost surely, 2^100214122401 is an apocalyptic number.

It is an amenable number.

100214122401 is a deficient number, since it is larger than the sum of its proper divisors (48425329119).

100214122401 is an equidigital number, since it uses as much as digits as its factorization.

100214122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352133 (or 4352127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100214122401 its reverse (104221412001), we get a palindrome (204435534402).

The spelling of 100214122401 in words is "one hundred billion, two hundred fourteen million, one hundred twenty-two thousand, four hundred one".