101212122121110 has 1536 divisors, whose sum is σ = 377957518848000. Its totient is φ = 18112322027520.

The previous prime is 101212122121091. The next prime is 101212122121127. The reversal of 101212122121110 is 11121221212101.

It is a happy number.

101212122121110 is a `hidden beast` number, since 10 + 1 + 212 + 1 + 221 + 211 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 14403315417 + ... + 14403322443.

It is an arithmetic number, because the mean of its divisors is an integer number (246066093000).

Almost surely, 2^{101212122121110} is an apocalyptic number.

101212122121110 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 101212122121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188978759424000).

101212122121110 is an abundant number, since it is smaller than the sum of its proper divisors (276745396726890).

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

101212122121110 is a wasteful number, since it uses less digits than its factorization.

101212122121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101212122121110 its reverse (11121221212101), we get a palindrome (112333343333211).

Subtracting from 101212122121110 its reverse (11121221212101), we obtain a palindrome (90090900909009).

The spelling of 101212122121110 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred ten".