10121020201110 has 256 divisors, whose sum is σ = 32271481589760. Its totient is φ = 1972145387520.

The previous prime is 10121020201091. The next prime is 10121020201141. The reversal of 10121020201110 is 1110202012101.

It is a super-2 number, since 2×10121020201110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 958201 + ... + 4600020.

It is an arithmetic number, because the mean of its divisors is an integer number (126060474960).

Almost surely, 2^{10121020201110} is an apocalyptic number.

10121020201110 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 10121020201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135740794880).

10121020201110 is an abundant number, since it is smaller than the sum of its proper divisors (22150461388650).

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

10121020201110 is a wasteful number, since it uses less digits than its factorization.

10121020201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558303.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121020201110 its reverse (1110202012101), we get a palindrome (11231222213211).

The spelling of 10121020201110 in words is "ten trillion, one hundred twenty-one billion, twenty million, two hundred one thousand, one hundred ten".