100211101331000 has 128 divisors (see below), whose sum is σ = 255826201176000. Its totient is φ = 36438322176000.

The previous prime is 100211101330937. The next prime is 100211101331023. The reversal of 100211101331000 is 133101112001.

It is a happy number.

It is a super-2 number, since 2×100211101331000² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 199608296 + ... + 200109704.

Almost surely, 2^{100211101331000} is an apocalyptic number.

100211101331000 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 100211101331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127913100588000).

100211101331000 is an abundant number, since it is smaller than the sum of its proper divisors (155615099845000).

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

100211101331000 is a wasteful number, since it uses less digits than its factorization.

100211101331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519610 (or 519596 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100211101331000 its reverse (133101112001), we get a palindrome (100344202443001).

The spelling of 100211101331000 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, three hundred thirty-one thousand".