11012121221010 has 512 divisors, whose sum is σ = 35108901273600. Its totient is φ = 2144569098240.

The previous prime is 11012121220937. The next prime is 11012121221039. The reversal of 11012121221010 is 1012212121011.

It is a happy number.

11012121221010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11012121221010³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1202060830 + ... + 1202069990.

It is an arithmetic number, because the mean of its divisors is an integer number (68572072800).

Almost surely, 2^{11012121221010} is an apocalyptic number.

11012121221010 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 11012121221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554450636800).

11012121221010 is an abundant number, since it is smaller than the sum of its proper divisors (24096780052590).

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

11012121221010 is a wasteful number, since it uses less digits than its factorization.

11012121221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11012121221010 its reverse (1012212121011), we get a palindrome (12024333342021).

Subtracting from 11012121221010 its reverse (1012212121011), we obtain a palindrome (9999909099999).

The spelling of 11012121221010 in words is "eleven trillion, twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, ten".