1020110013100 has 36 divisors (see below), whose sum is σ = 2213722462000. Its totient is φ = 408028570560.

The previous prime is 1020110013059. The next prime is 1020110013163. The reversal of 1020110013100 is 13100110201.

It is a super-2 number, since 2×1020110013100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2676241 + ... + 3033559.

Almost surely, 2^{1020110013100} is an apocalyptic number.

1020110013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110013100 is an abundant number, since it is smaller than the sum of its proper divisors (1193612448900).

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

1020110013100 is a wasteful number, since it uses less digits than its factorization.

1020110013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385882 (or 385875 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1020110013100 its reverse (13100110201), we get a palindrome (1033210123301).

The spelling of 1020110013100 in words is "one trillion, twenty billion, one hundred ten million, thirteen thousand, one hundred".