100212122111010 has 512 divisors, whose sum is σ = 306054907232256. Its totient is φ = 20434208256000.

The previous prime is 100212122110873. The next prime is 100212122111053. The reversal of 100212122111010 is 10111221212001.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18118261945 + ... + 18118267475.

It is an arithmetic number, because the mean of its divisors is an integer number (597763490688).

Almost surely, 2^{100212122111010} is an apocalyptic number.

100212122111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212122111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153027453616128).

100212122111010 is an abundant number, since it is smaller than the sum of its proper divisors (205842785121246).

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

100212122111010 is a wasteful number, since it uses less digits than its factorization.

100212122111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770.

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

Adding to 100212122111010 its reverse (10111221212001), we get a palindrome (110323343323011).

The spelling of 100212122111010 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, ten".