100211211021012 has 192 divisors, whose sum is σ = 295662563395584. Its totient is φ = 25706452584960.

The previous prime is 100211211020971. The next prime is 100211211021017. The reversal of 100211211021012 is 210120112112001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100211211020982 and 100211211021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211211021017) by changing a digit.

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, 121244583 + ... + 122068305.

It is an arithmetic number, because the mean of its divisors is an integer number (1539909184352).

Almost surely, 2^{100211211021012} is an apocalyptic number.

100211211021012 is a gapful number since it is divisible by the number (12) 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 100211211021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147831281697792).

100211211021012 is an abundant number, since it is smaller than the sum of its proper divisors (195451352374572).

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

100211211021012 is a wasteful number, since it uses less digits than its factorization.

100211211021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826798 (or 826796 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211211021012 its reverse (210120112112001), we get a palindrome (310331323133013).

The spelling of 100211211021012 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, twenty-one thousand, twelve".