100011012222000 has 320 divisors, whose sum is σ = 351783562411008. Its totient is φ = 24242630400000.

The previous prime is 100011012221971. The next prime is 100011012222001. The reversal of 100011012222000 is 222210110001.

100011012222000 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100011012222001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697350300 + ... + 697493700.

Almost surely, 2^{100011012222000} is an apocalyptic number.

100011012222000 is a gapful number since it is divisible by the number (10) 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 100011012222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175891781205504).

100011012222000 is an abundant number, since it is smaller than the sum of its proper divisors (251772550189008).

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

100011012222000 is a wasteful number, since it uses less digits than its factorization.

100011012222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154005 (or 153989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100011012222000 its reverse (222210110001), we get a palindrome (100233222332001).

The spelling of 100011012222000 in words is "one hundred trillion, eleven billion, twelve million, two hundred twenty-two thousand".