100020021200121 has 32 divisors (see below), whose sum is σ = 147238385011200. Its totient is φ = 59887081123200.

The previous prime is 100020021200111. The next prime is 100020021200129. The reversal of 100020021200121 is 121002120020001.

It is not a de Polignac number, because 100020021200121 - 2¹⁰ = 100020021199097 is a prime.

It is a super-3 number, since 3×100020021200121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100020021200097 and 100020021200106.

It is not an unprimeable number, because it can be changed into a prime (100020021200129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267032430 + ... + 267406728.

It is an arithmetic number, because the mean of its divisors is an integer number (4601199531600).

Almost surely, 2^{100020021200121} is an apocalyptic number.

100020021200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020021200121 is a deficient number, since it is larger than the sum of its proper divisors (47218363811079).

100020021200121 is a wasteful number, since it uses less digits than its factorization.

100020021200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471957.

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

Adding to 100020021200121 its reverse (121002120020001), we get a palindrome (221022141220122).

The spelling of 100020021200121 in words is "one hundred trillion, twenty billion, twenty-one million, two hundred thousand, one hundred twenty-one".