10121202223110 has 384 divisors, whose sum is σ = 30783055739904. Its totient is φ = 2282187156480.

The previous prime is 10121202223079. The next prime is 10121202223129. The reversal of 10121202223110 is 1132220212101.

10121202223110 is a `hidden beast` number, since 1 + 0 + 12 + 120 + 222 + 311 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2583914872 + ... + 2583918788.

It is an arithmetic number, because the mean of its divisors is an integer number (80164207656).

Almost surely, 2^{10121202223110} is an apocalyptic number.

10121202223110 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 10121202223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391527869952).

10121202223110 is an abundant number, since it is smaller than the sum of its proper divisors (20661853516794).

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

10121202223110 is a wasteful number, since it uses less digits than its factorization.

10121202223110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10121202223110 its reverse (1132220212101), we get a palindrome (11253422435211).

The spelling of 10121202223110 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-three thousand, one hundred ten".