122121120221010 has 64 divisors (see below), whose sum is σ = 332585178508800. Its totient is φ = 31872746267136.

The previous prime is 122121120220999. The next prime is 122121120221029. The reversal of 122121120221010 is 10122021121221.

122121120221010 is a `hidden beast` number, since 1 + 221 + 21 + 1 + 202 + 210 + 10 = 666.

122121120221010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122121120221010² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4811694175 + ... + 4811719554.

It is an arithmetic number, because the mean of its divisors is an integer number (5196643414200).

Almost surely, 2^{122121120221010} is an apocalyptic number.

122121120221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122121120221010 is an abundant number, since it is smaller than the sum of its proper divisors (210464058287790).

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

122121120221010 is a wasteful number, since it uses less digits than its factorization.

122121120221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623413792 (or 9623413786 counting only the distinct ones).

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

Adding to 122121120221010 its reverse (10122021121221), we get a palindrome (132243141342231).

The spelling of 122121120221010 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty-one thousand, ten".