101022110020100 has 18 divisors (see below), whose sum is σ = 219217978743834. Its totient is φ = 40408844008000.

The previous prime is 101022110020063. The next prime is 101022110020103. The reversal of 101022110020100 is 1020011220101.

It can be written as a sum of positive squares in 3 ways, for example, as 1978253502016 + 99043856518084 = 1406504^2 + 9952078^2 .

It is a super-3 number, since 3×101022110020100³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101022110020103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 505110550001 + ... + 505110550200.

Almost surely, 2^{101022110020100} is an apocalyptic number.

101022110020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022110020100 is an abundant number, since it is smaller than the sum of its proper divisors (118195868723734).

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

101022110020100 is a wasteful number, since it uses less digits than its factorization.

101022110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010221100215 (or 1010221100208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022110020100 its reverse (1020011220101), we get a palindrome (102042121240201).

The spelling of 101022110020100 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, twenty thousand, one hundred".