100002222102100 has 18 divisors (see below), whose sum is σ = 217004821961774. Its totient is φ = 40000888840800.

The previous prime is 100002222102089. The next prime is 100002222102103. The reversal of 100002222102100 is 1201222200001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35955685645636 + 64046536456464 = 5996306^2 + 8002908^2 .

It is a super-5 number, since 5×100002222102100⁵ (a number of 71 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002222102103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500011110411 + ... + 500011110610.

Almost surely, 2^{100002222102100} is an apocalyptic number.

100002222102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002222102100 is an abundant number, since it is smaller than the sum of its proper divisors (117002599859674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100002222102100 is a wasteful number, since it uses less digits than its factorization.

100002222102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000022221035 (or 1000022221028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100002222102100 its reverse (1201222200001), we get a palindrome (101203444302101).

The spelling of 100002222102100 in words is "one hundred trillion, two billion, two hundred twenty-two million, one hundred two thousand, one hundred".