10210212122112 has 480 divisors, whose sum is σ = 30877496913120. Its totient is φ = 3244689653760.

The previous prime is 10210212122107. The next prime is 10210212122141. The reversal of 10210212122112 is 21122121201201.

10210212122112 is a `hidden beast` number, since 10 + 210 + 21 + 212 + 211 + 2 = 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2943270714 + ... + 2943274182.

It is an arithmetic number, because the mean of its divisors is an integer number (64328118569).

Almost surely, 2^{10210212122112} is an apocalyptic number.

10210212122112 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 10210212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438748456560).

10210212122112 is an abundant number, since it is smaller than the sum of its proper divisors (20667284791008).

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

10210212122112 is a wasteful number, since it uses less digits than its factorization.

10210212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10210212122112 its reverse (21122121201201), we get a palindrome (31332333323313).

The spelling of 10210212122112 in words is "ten trillion, two hundred ten billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".