10202201100 has 360 divisors, whose sum is σ = 40706332128. Its totient is φ = 2152396800.

The previous prime is 10202201099. The next prime is 10202201129. The reversal of 10202201100 is 110220201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 730180 + ... + 744020.

Almost surely, 2^10202201100 is an apocalyptic number.

10202201100 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 10202201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353166064).

10202201100 is an abundant number, since it is smaller than the sum of its proper divisors (30504131028).

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

10202201100 is a wasteful number, since it uses less digits than its factorization.

10202201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202201100 its reverse (110220201), we get a palindrome (10312421301).

The spelling of 10202201100 in words is "ten billion, two hundred two million, two hundred one thousand, one hundred".