100211311212000 has 384 divisors, whose sum is σ = 329052097640448. Its totient is φ = 26661229056000.

The previous prime is 100211311211981. The next prime is 100211311212029. The reversal of 100211311212000 is 212113112001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 13201328205 + ... + 13201335795.

It is an arithmetic number, because the mean of its divisors is an integer number (856906504272).

Almost surely, 2^{100211311212000} is an apocalyptic number.

100211311212000 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 100211311212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164526048820224).

100211311212000 is an abundant number, since it is smaller than the sum of its proper divisors (228840786428448).

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

100211311212000 is a wasteful number, since it uses less digits than its factorization.

100211311212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100211311212000 its reverse (212113112001), we get a palindrome (100423424324001).

The spelling of 100211311212000 in words is "one hundred trillion, two hundred eleven billion, three hundred eleven million, two hundred twelve thousand".