35102100068100 has 1008 divisors, whose sum is σ = 124529349059472. Its totient is φ = 8532986757120.

The previous prime is 35102100068093. The next prime is 35102100068117. The reversal of 35102100068100 is 186000120153.

It can be written as a sum of positive squares in 24 ways, for example, as 35044718740164 + 57381327936 = 5919858^2 + 239544^2 .

It is a super-2 number, since 2×35102100068100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 46370012922 + ... + 46370013678.

Almost surely, 2^{35102100068100} is an apocalyptic number.

35102100068100 is a gapful number since it is divisible by the number (30) 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 35102100068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62264674529736).

35102100068100 is an abundant number, since it is smaller than the sum of its proper divisors (89427248991372).

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

35102100068100 is a wasteful number, since it uses less digits than its factorization.

35102100068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 35102100068100 its reverse (186000120153), we get a palindrome (35288100188253).

The spelling of 35102100068100 in words is "thirty-five trillion, one hundred two billion, one hundred million, sixty-eight thousand, one hundred".