100121033032033 has 8 divisors (see below), whose sum is σ = 107843006450088. Its totient is φ = 92401967541504.

The previous prime is 100121033032003. The next prime is 100121033032081. The reversal of 100121033032033 is 330230330121001.

It can be written as a sum of positive squares in 4 ways, for example, as 19783387413904 + 80337645618129 = 4447852^2 + 8963127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121033032033 - 2¹³ = 100121033023841 is a prime.

It is a super-2 number, since 2×100121033032033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121033031995 and 100121033032013.

It is not an unprimeable number, because it can be changed into a prime (100121033032003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726910366 + ... + 727048087.

It is an arithmetic number, because the mean of its divisors is an integer number (13480375806261).

Almost surely, 2^{100121033032033} is an apocalyptic number.

100121033032033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100121033032033 is a deficient number, since it is larger than the sum of its proper divisors (7721973418055).

100121033032033 is a wasteful number, since it uses less digits than its factorization.

100121033032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453963763.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100121033032033 its reverse (330230330121001), we get a palindrome (430351363153034).

The spelling of 100121033032033 in words is "one hundred trillion, one hundred twenty-one billion, thirty-three million, thirty-two thousand, thirty-three".