100221031122121 has 32 divisors (see below), whose sum is σ = 124102654179840. Its totient is φ = 78811359492096.

The previous prime is 100221031122109. The next prime is 100221031122151. The reversal of 100221031122121 is 121221130122001.

It is a de Polignac number, because none of the positive numbers 2^k-100221031122121 is a prime.

It is a super-2 number, since 2×100221031122121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221031122151) 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 31 ways as a sum of consecutive naturals, for example, 125996985 + ... + 126789913.

It is an arithmetic number, because the mean of its divisors is an integer number (3878207943120).

Almost surely, 2^{100221031122121} is an apocalyptic number.

It is an amenable number.

100221031122121 is a deficient number, since it is larger than the sum of its proper divisors (23881623057719).

100221031122121 is a wasteful number, since it uses less digits than its factorization.

100221031122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801433.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100221031122121 its reverse (121221130122001), we get a palindrome (221442161244122).

The spelling of 100221031122121 in words is "one hundred trillion, two hundred twenty-one billion, thirty-one million, one hundred twenty-two thousand, one hundred twenty-one".