100112121001212 has 24 divisors (see below), whose sum is σ = 233595161708496. Its totient is φ = 33370676613888.

The previous prime is 100112121001171. The next prime is 100112121001237. The reversal of 100112121001212 is 212100121211001.

It is a happy number.

It is a super-2 number, since 2×100112121001212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112121001191 and 100112121001200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12847098 + ... + 19112094.

It is an arithmetic number, because the mean of its divisors is an integer number (9733131737854).

Almost surely, 2^{100112121001212} is an apocalyptic number.

100112121001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112121001212 is an abundant number, since it is smaller than the sum of its proper divisors (133483040707284).

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

100112121001212 is a wasteful number, since it uses less digits than its factorization.

100112121001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596637 (or 7596635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112121001212 its reverse (212100121211001), we get a palindrome (312212242212213).

The spelling of 100112121001212 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, one thousand, two hundred twelve".