100101021222000 has 640 divisors, whose sum is σ = 366203743746048. Its totient is φ = 23381563392000.

The previous prime is 100101021221941. The next prime is 100101021222029. The reversal of 100101021222000 is 222120101001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86225395 + ... + 87378605.

Almost surely, 2^{100101021222000} is an apocalyptic number.

100101021222000 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 100101021222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183101871873024).

100101021222000 is an abundant number, since it is smaller than the sum of its proper divisors (266102722524048).

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

100101021222000 is a wasteful number, since it uses less digits than its factorization.

100101021222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153314 (or 1153298 counting only the distinct ones).

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

Adding to 100101021222000 its reverse (222120101001), we get a palindrome (100323141323001).

The spelling of 100101021222000 in words is "one hundred trillion, one hundred one billion, twenty-one million, two hundred twenty-two thousand".