35525052102100 has 288 divisors, whose sum is σ = 90158491987200. Its totient is φ = 12018195763200.

The previous prime is 35525052102047. The next prime is 35525052102103. The reversal of 35525052102100 is 120125052553.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35525052102103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3528155866 + ... + 3528165934.

It is an arithmetic number, because the mean of its divisors is an integer number (313050319400).

Almost surely, 2^{35525052102100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35525052102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45079245993600).

35525052102100 is an abundant number, since it is smaller than the sum of its proper divisors (54633439885100).

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

35525052102100 is a wasteful number, since it uses less digits than its factorization.

35525052102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

Adding to 35525052102100 its reverse (120125052553), we get a palindrome (35645177154653).

The spelling of 35525052102100 in words is "thirty-five trillion, five hundred twenty-five billion, fifty-two million, one hundred two thousand, one hundred".