10201920009100 has 72 divisors (see below), whose sum is σ = 22671421380608. Its totient is φ = 3982626446400.

The previous prime is 10201920009079. The next prime is 10201920009107. The reversal of 10201920009100 is 190002910201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10201920009107) 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, 4329637 + ... + 6256963.

Almost surely, 2^{10201920009100} is an apocalyptic number.

10201920009100 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 10201920009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335710690304).

10201920009100 is an abundant number, since it is smaller than the sum of its proper divisors (12469501371508).

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

10201920009100 is a wasteful number, since it uses less digits than its factorization.

10201920009100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928615 (or 1928608 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

Adding to 10201920009100 its reverse (190002910201), we get a palindrome (10391922919301).

The spelling of 10201920009100 in words is "ten trillion, two hundred one billion, nine hundred twenty million, nine thousand, one hundred".