100120221002119 has 16 divisors (see below), whose sum is σ = 107258353776000. Its totient is φ = 93171424413600.

The previous prime is 100120221002107. The next prime is 100120221002209. The reversal of 100120221002119 is 911200122021001.

It is a cyclic number.

It is not a de Polignac number, because 100120221002119 - 2³³ = 100111631067527 is a prime.

It is a super-2 number, since 2×100120221002119² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100120221002119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120221002819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32866449 + ... + 35783290.

It is an arithmetic number, because the mean of its divisors is an integer number (6703647111000).

Almost surely, 2^{100120221002119} is an apocalyptic number.

100120221002119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100120221002119 is a deficient number, since it is larger than the sum of its proper divisors (7138132773881).

100120221002119 is a wasteful number, since it uses less digits than its factorization.

100120221002119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68651118.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 100120221002119 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred nineteen".