100121102220100 has 36 divisors (see below), whose sum is σ = 233975314268164. Its totient is φ = 36967791588480.

The previous prime is 100121102220031. The next prime is 100121102220109. The reversal of 100121102220100 is 1022201121001.

It can be written as a sum of positive squares in 6 ways, for example, as 8766999871744 + 91354102348356 = 2960912^2 + 9557934^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100121102220109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38508114939 + ... + 38508117538.

Almost surely, 2^{100121102220100} is an apocalyptic number.

100121102220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121102220100 is an abundant number, since it is smaller than the sum of its proper divisors (133854212048064).

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

100121102220100 is a wasteful number, since it uses less digits than its factorization.

100121102220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77016232504 (or 77016232497 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121102220100 its reverse (1022201121001), we get a palindrome (101143303341101).

The spelling of 100121102220100 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, two hundred twenty thousand, one hundred".