10110200000100 has 288 divisors, whose sum is σ = 30595593756672. Its totient is φ = 2575742400000.

The previous prime is 10110200000059. The next prime is 10110200000143. The reversal of 10110200000100 is 100000201101.

10110200000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10110200000100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101061105 + ... + 101161095.

It is an arithmetic number, because the mean of its divisors is an integer number (106234700544).

Almost surely, 2^{10110200000100} is an apocalyptic number.

10110200000100 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 10110200000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297796878336).

10110200000100 is an abundant number, since it is smaller than the sum of its proper divisors (20485393756572).

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

10110200000100 is a wasteful number, since it uses less digits than its factorization.

10110200000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100227 (or 100220 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10110200000100 its reverse (100000201101), we get a palindrome (10210200201201).

It can be divided in two parts, 101 and 10200000100, that added together give a palindrome (10200000201).

The spelling of 10110200000100 in words is "ten trillion, one hundred ten billion, two hundred million, one hundred", and thus it is an aban number.