100102000122201 has 64 divisors (see below), whose sum is σ = 168657575325696. Its totient is φ = 51300303264000.

The previous prime is 100102000122181. The next prime is 100102000122209. The reversal of 100102000122201 is 102221000201001.

It is not a de Polignac number, because 100102000122201 - 2²⁶ = 100101933013337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100102000122209) 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, 1281925 + ... + 14207298.

It is an arithmetic number, because the mean of its divisors is an integer number (2635274614464).

Almost surely, 2^{100102000122201} is an apocalyptic number.

100102000122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102000122201 is a deficient number, since it is larger than the sum of its proper divisors (68555575203495).

100102000122201 is a wasteful number, since it uses less digits than its factorization.

100102000122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15489622.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102000122201 its reverse (102221000201001), we get a palindrome (202323000323202).

The spelling of 100102000122201 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two thousand, two hundred one".