10100001302100 has 540 divisors, whose sum is σ = 34625526012000. Its totient is φ = 2539623715200.

The previous prime is 10100001302077. The next prime is 10100001302113. The reversal of 10100001302100 is 120310000101.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 16861437601 + ... + 16861438199.

Almost surely, 2^{10100001302100} is an apocalyptic number.

10100001302100 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 10100001302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312763006000).

10100001302100 is an abundant number, since it is smaller than the sum of its proper divisors (24525524709900).

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

10100001302100 is a wasteful number, since it uses less digits than its factorization.

10100001302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100001302100 its reverse (120310000101), we get a palindrome (10220311302201).

The spelling of 10100001302100 in words is "ten trillion, one hundred billion, one million, three hundred two thousand, one hundred".