100102202201121 has 16 divisors (see below), whose sum is σ = 133653571801920. Its totient is φ = 66642819600960.

The previous prime is 100102202201119. The next prime is 100102202201143. The reversal of 100102202201121 is 121102202201001.

It is not a de Polignac number, because 100102202201121 - 2¹ = 100102202201119 is a prime.

It is a super-2 number, since 2×100102202201121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100102202201121.

It is not an unprimeable number, because it can be changed into a prime (100102202201191) 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, 178567015 + ... + 179126723.

It is an arithmetic number, because the mean of its divisors is an integer number (8353348237620).

Almost surely, 2^{100102202201121} is an apocalyptic number.

It is an amenable number.

100102202201121 is a deficient number, since it is larger than the sum of its proper divisors (33551369600799).

100102202201121 is an equidigital number, since it uses as much as digits as its factorization.

100102202201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641776.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100102202201121 its reverse (121102202201001), we get a palindrome (221204404402122).

The spelling of 100102202201121 in words is "one hundred trillion, one hundred two billion, two hundred two million, two hundred one thousand, one hundred twenty-one".