10355312100 has 432 divisors, whose sum is σ = 36398503680. Its totient is φ = 2264371200.

The previous prime is 10355312087. The next prime is 10355312101. The reversal of 10355312100 is 121355301.

It is a super-3 number, since 3×10355312100³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10355312101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42967980 + ... + 42968220.

Almost surely, 2^10355312100 is an apocalyptic number.

10355312100 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 10355312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199251840).

10355312100 is an abundant number, since it is smaller than the sum of its proper divisors (26043191580).

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

10355312100 is a wasteful number, since it uses less digits than its factorization.

10355312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 10355312100 its reverse (121355301), we get a palindrome (10476667401).

It can be divided in two parts, 1035 and 5312100, that added together give a palindrome (5313135).

The spelling of 10355312100 in words is "ten billion, three hundred fifty-five million, three hundred twelve thousand, one hundred".