1020120211110 has 512 divisors, whose sum is σ = 3333370392576. Its totient is φ = 192936960000.

The previous prime is 1020120211093. The next prime is 1020120211127. The reversal of 1020120211110 is 111120210201.

It is an interprime number because it is at equal distance from previous prime (1020120211093) and next prime (1020120211127).

It is a super-2 number, since 2×1020120211110² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 961469980 + ... + 961471040.

It is an arithmetic number, because the mean of its divisors is an integer number (6510489048).

Almost surely, 2^{1020120211110} is an apocalyptic number.

1020120211110 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 1020120211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666685196288).

1020120211110 is an abundant number, since it is smaller than the sum of its proper divisors (2313250181466).

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

1020120211110 is a wasteful number, since it uses less digits than its factorization.

1020120211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520.

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

Adding to 1020120211110 its reverse (111120210201), we get a palindrome (1131240421311).

Subtracting from 1020120211110 its reverse (111120210201), we obtain a palindrome (909000000909).

The spelling of 1020120211110 in words is "one trillion, twenty billion, one hundred twenty million, two hundred eleven thousand, one hundred ten".