1021101110120 has 256 divisors, whose sum is σ = 2991043722240. Its totient is φ = 304874938368.

The previous prime is 1021101110119. The next prime is 1021101110131. The reversal of 1021101110120 is 210111011201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6028022 + ... + 6195098.

It is an arithmetic number, because the mean of its divisors is an integer number (11683764540).

Almost surely, 2^{1021101110120} is an apocalyptic number.

1021101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021101110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495521861120).

1021101110120 is an abundant number, since it is smaller than the sum of its proper divisors (1969942612120).

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

1021101110120 is a wasteful number, since it uses less digits than its factorization.

1021101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167204 (or 167200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1021101110120 its reverse (210111011201), we get a palindrome (1231212121321).

The spelling of 1021101110120 in words is "one trillion, twenty-one billion, one hundred one million, one hundred ten thousand, one hundred twenty".