100121002201121 has 16 divisors (see below), whose sum is σ = 115648108950528. Its totient is φ = 85664791353600.

The previous prime is 100121002201021. The next prime is 100121002201147. The reversal of 100121002201121 is 121102200121001.

It is a cyclic number.

It is not a de Polignac number, because 100121002201121 - 2¹⁴ = 100121002184737 is a prime.

It is a super-2 number, since 2×100121002201121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121002201096 and 100121002201105.

It is not an unprimeable number, because it can be changed into a prime (100121002201021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115814351 + ... + 116675643.

It is an arithmetic number, because the mean of its divisors is an integer number (7228006809408).

Almost surely, 2^{100121002201121} is an apocalyptic number.

100121002201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121002201121 is a deficient number, since it is larger than the sum of its proper divisors (15527106749407).

100121002201121 is a wasteful number, since it uses less digits than its factorization.

100121002201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482952.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121002201121 its reverse (121102200121001), we get a palindrome (221223202322122).

The spelling of 100121002201121 in words is "one hundred trillion, one hundred twenty-one billion, two million, two hundred one thousand, one hundred twenty-one".