100211120022012 has 96 divisors (see below), whose sum is σ = 242160049320000. Its totient is φ = 32215710707712.

The previous prime is 100211120022007. The next prime is 100211120022023. The reversal of 100211120022012 is 210220021112001.

100211120022012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100211120021982 and 100211120022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5646006114 + ... + 5646023862.

It is an arithmetic number, because the mean of its divisors is an integer number (2522500513750).

Almost surely, 2^{100211120022012} is an apocalyptic number.

100211120022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211120022012 is an abundant number, since it is smaller than the sum of its proper divisors (141948929297988).

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

100211120022012 is a wasteful number, since it uses less digits than its factorization.

100211120022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35055 (or 35053 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100211120022012 its reverse (210220021112001), we get a palindrome (310431141134013).

The spelling of 100211120022012 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty million, twenty-two thousand, twelve".