101020011000100 has 36 divisors (see below), whose sum is σ = 222807086570068. Its totient is φ = 39745578096000.

The previous prime is 101020011000089. The next prime is 101020011000109. The reversal of 101020011000100 is 1000110020101.

It can be written as a sum of positive squares in 6 ways, for example, as 2363746352704 + 98656264647396 = 1537448^2 + 9932586^2 .

It is not an unprimeable number, because it can be changed into a prime (101020011000109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8280322671 + ... + 8280334870.

Almost surely, 2^{101020011000100} is an apocalyptic number.

101020011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020011000100 is an abundant number, since it is smaller than the sum of its proper divisors (121787075569968).

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

101020011000100 is a wasteful number, since it uses less digits than its factorization.

101020011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16560657616 (or 16560657609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101020011000100 its reverse (1000110020101), we get a palindrome (102020121020201).

The spelling of 101020011000100 in words is "one hundred one trillion, twenty billion, eleven million, one hundred", and thus it is an aban number.