100211120212212 has 144 divisors (see below), whose sum is σ = 255171911816640. Its totient is φ = 33159500872704.

The previous prime is 100211120212201. The next prime is 100211120212249. The reversal of 100211120212212 is 212212021112001.

100211120212212 is a `hidden beast` number, since 10 + 0 + 211 + 1 + 20 + 212 + 212 = 666.

It is a super-2 number, since 2×100211120212212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2936228364 + ... + 2936262492.

Almost surely, 2^{100211120212212} is an apocalyptic number.

100211120212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211120212212 is an abundant number, since it is smaller than the sum of its proper divisors (154960791604428).

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

100211120212212 is a wasteful number, since it uses less digits than its factorization.

100211120212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35502 (or 35497 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211120212212 its reverse (212212021112001), we get a palindrome (312423141324213).

The spelling of 100211120212212 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty million, two hundred twelve thousand, two hundred twelve".