1020110220100 has 18 divisors (see below), whose sum is σ = 2213639177834. Its totient is φ = 408044088000.

The previous prime is 1020110220053. The next prime is 1020110220121. The reversal of 1020110220100 is 10220110201.

1020110220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 186570435844 + 833539784256 = 431938^2 + 912984^2 .

It is a super-2 number, since 2×1020110220100² (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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5100551001 + ... + 5100551200.

Almost surely, 2^{1020110220100} is an apocalyptic number.

1020110220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110220100 is an abundant number, since it is smaller than the sum of its proper divisors (1193528957734).

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

1020110220100 is a wasteful number, since it uses less digits than its factorization.

1020110220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201102215 (or 10201102208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020110220100 its reverse (10220110201), we get a palindrome (1030330330301).

The spelling of 1020110220100 in words is "one trillion, twenty billion, one hundred ten million, two hundred twenty thousand, one hundred".