100211021121 has 8 divisors (see below), whose sum is σ = 133723241344. Its totient is φ = 66753074160.

The previous prime is 100211021117. The next prime is 100211021123. The reversal of 100211021121 is 121120112001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100211021121 - 2² = 100211021117 is a prime.

It is a super-2 number, since 2×100211021121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211021097 and 100211021106.

It is not an unprimeable number, because it can be changed into a prime (100211021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13564006 + ... + 13571391.

It is an arithmetic number, because the mean of its divisors is an integer number (16715405168).

Almost surely, 2^100211021121 is an apocalyptic number.

It is an amenable number.

100211021121 is a deficient number, since it is larger than the sum of its proper divisors (33512220223).

100211021121 is a wasteful number, since it uses less digits than its factorization.

100211021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27136631.

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

Adding to 100211021121 its reverse (121120112001), we get a palindrome (221331133122).

The spelling of 100211021121 in words is "one hundred billion, two hundred eleven million, twenty-one thousand, one hundred twenty-one".