100212220122201 has 24 divisors (see below), whose sum is σ = 160134251883840. Its totient is φ = 59879260845600.

The previous prime is 100212220122167. The next prime is 100212220122257. The reversal of 100212220122201 is 102221022212001.

It is a happy number.

100212220122201 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 220 + 12 + 220 + 1 = 666.

It is not a de Polignac number, because 100212220122201 - 2¹⁸ = 100212219860057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212220122901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7128476406 + ... + 7128490463.

It is an arithmetic number, because the mean of its divisors is an integer number (6672260495160).

Almost surely, 2^{100212220122201} is an apocalyptic number.

100212220122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212220122201 is a deficient number, since it is larger than the sum of its proper divisors (59922031761639).

100212220122201 is a wasteful number, since it uses less digits than its factorization.

100212220122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14256966957 (or 14256966954 counting only the distinct ones).

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

Adding to 100212220122201 its reverse (102221022212001), we get a palindrome (202433242334202).

The spelling of 100212220122201 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty-two thousand, two hundred one".