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10110200100 = 2235271113131257
BaseRepresentation
bin10010110101001110…
…10110100100100100
3222002121010101020120
421122213112210210
5131201202400400
64351120401540
7505353166020
oct113247264444
928077111216
1010110200100
114318a42a80
121b61a762b0
13c51792930
146bca4b380
153e28c9ca0
hex25a9d6924

10110200100 has 576 divisors, whose sum is σ = 39729457152. Its totient is φ = 1916928000.

The previous prime is 10110200083. The next prime is 10110200117. The reversal of 10110200100 is 100201101.

It is an interprime number because it is at equal distance from previous prime (10110200083) and next prime (10110200117).

It is a super-2 number, since 2×101102001002 (a number of 21 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 191 ways as a sum of consecutive naturals, for example, 39339172 + ... + 39339428.

It is an arithmetic number, because the mean of its divisors is an integer number (68974752).

Almost surely, 210110200100 is an apocalyptic number.

10110200100 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 10110200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19864728576).

10110200100 is an abundant number, since it is smaller than the sum of its proper divisors (29619257052).

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

10110200100 is a wasteful number, since it uses less digits than its factorization.

10110200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

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

Adding to 10110200100 its reverse (100201101), we get a palindrome (10210401201).

It can be divided in two parts, 101 and 10200100, that added together give a palindrome (10200201).

The spelling of 10110200100 in words is "ten billion, one hundred ten million, two hundred thousand, one hundred".