10235363033100 has 72 divisors (see below), whose sum is σ = 29698210599120. Its totient is φ = 2721698017280.

The previous prime is 10235363033053. The next prime is 10235363033101. The reversal of 10235363033100 is 133036353201.

It is a super-2 number, since 2×10235363033100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10235363033101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48219705 + ... + 48431504.

It is an arithmetic number, because the mean of its divisors is an integer number (412475147210).

Almost surely, 2^{10235363033100} is an apocalyptic number.

10235363033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10235363033100 is an abundant number, since it is smaller than the sum of its proper divisors (19462847566020).

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

10235363033100 is a wasteful number, since it uses less digits than its factorization.

10235363033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96651579 (or 96651572 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 30.

Adding to 10235363033100 its reverse (133036353201), we get a palindrome (10368399386301).

The spelling of 10235363033100 in words is "ten trillion, two hundred thirty-five billion, three hundred sixty-three million, thirty-three thousand, one hundred".