100010001221121 has 16 divisors (see below), whose sum is σ = 134846187696000. Its totient is φ = 65923588249728.

The previous prime is 100010001221113. The next prime is 100010001221161. The reversal of 100010001221121 is 121122100010001.

It is not a de Polignac number, because 100010001221121 - 2³ = 100010001221113 is a prime.

It is a super-2 number, since 2×100010001221121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010001221097 and 100010001221106.

It is not an unprimeable number, because it can be changed into a prime (100010001221161) 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, 28287915 + ... + 31626351.

It is an arithmetic number, because the mean of its divisors is an integer number (8427886731000).

Almost surely, 2^{100010001221121} is an apocalyptic number.

It is an amenable number.

100010001221121 is a deficient number, since it is larger than the sum of its proper divisors (34836186474879).

100010001221121 is a wasteful number, since it uses less digits than its factorization.

100010001221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450728.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100010001221121 its reverse (121122100010001), we get a palindrome (221132101231122).

The spelling of 100010001221121 in words is "one hundred trillion, ten billion, one million, two hundred twenty-one thousand, one hundred twenty-one".