100011221212000 has 96 divisors (see below), whose sum is σ = 280831509241920. Its totient is φ = 34289561548800.

The previous prime is 100011221211901. The next prime is 100011221212009. The reversal of 100011221212000 is 212122110001.

It is a super-4 number, since 4×100011221212000⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011221212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785886665 + ... + 1785942664.

It is an arithmetic number, because the mean of its divisors is an integer number (2925328221270).

Almost surely, 2^{100011221212000} is an apocalyptic number.

100011221212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011221212000 is an abundant number, since it is smaller than the sum of its proper divisors (180820288029920).

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

100011221212000 is an equidigital number, since it uses as much as digits as its factorization.

100011221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571829361 (or 3571829343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100011221212000 its reverse (212122110001), we get a palindrome (100223343322001).

The spelling of 100011221212000 in words is "one hundred trillion, eleven billion, two hundred twenty-one million, two hundred twelve thousand".