10122120220212 has 288 divisors, whose sum is σ = 34366335494400. Its totient is φ = 2426000855040.

The previous prime is 10122120220189. The next prime is 10122120220217. The reversal of 10122120220212 is 21202202122101.

It is a happy number.

10122120220212 is a `hidden beast` number, since 10 + 1 + 221 + 2 + 0 + 220 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122120220217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102040414 + ... + 102139562.

It is an arithmetic number, because the mean of its divisors is an integer number (119327553800).

Almost surely, 2^{10122120220212} is an apocalyptic number.

10122120220212 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 10122120220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183167747200).

10122120220212 is an abundant number, since it is smaller than the sum of its proper divisors (24244215274188).

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

10122120220212 is a wasteful number, since it uses less digits than its factorization.

10122120220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102023 (or 102018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122120220212 its reverse (21202202122101), we get a palindrome (31324322342313).

The spelling of 10122120220212 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".