100121211312 has 80 divisors (see below), whose sum is σ = 270644820480. Its totient is φ = 31833657856.

The previous prime is 100121211299. The next prime is 100121211343. The reversal of 100121211312 is 213112121001.

It is a super-2 number, since 2×100121211312² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121211291 and 100121211300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270028 + ... + 522644.

It is an arithmetic number, because the mean of its divisors is an integer number (3383060256).

Almost surely, 2^100121211312 is an apocalyptic number.

100121211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135322410240).

100121211312 is an abundant number, since it is smaller than the sum of its proper divisors (170523609168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121211312 is a wasteful number, since it uses less digits than its factorization.

100121211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253010 (or 253004 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100121211312 its reverse (213112121001), we get a palindrome (313233332313).

The spelling of 100121211312 in words is "one hundred billion, one hundred twenty-one million, two hundred eleven thousand, three hundred twelve".