100212101121 has 32 divisors (see below), whose sum is σ = 147750782976. Its totient is φ = 59910840000.

The previous prime is 100212101029. The next prime is 100212101131. The reversal of 100212101121 is 121101212001.

It is not a de Polignac number, because 100212101121 - 2⁷ = 100212100993 is a prime.

It is a super-2 number, since 2×100212101121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212101097 and 100212101106.

It is not an unprimeable number, because it can be changed into a prime (100212101131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847770 + ... + 958716.

It is an arithmetic number, because the mean of its divisors is an integer number (4617211968).

Almost surely, 2^100212101121 is an apocalyptic number.

100212101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212101121 is a deficient number, since it is larger than the sum of its proper divisors (47538681855).

100212101121 is a wasteful number, since it uses less digits than its factorization.

100212101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111333.

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

Adding to 100212101121 its reverse (121101212001), we get a palindrome (221313313122).

The spelling of 100212101121 in words is "one hundred billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".