1031201100 has 216 divisors, whose sum is σ = 3357441360. Its totient is φ = 264522240.

The previous prime is 1031201077. The next prime is 1031201131. The reversal of 1031201100 is 11021301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5760811 + ... + 5760989.

It is an arithmetic number, because the mean of its divisors is an integer number (15543710).

Almost surely, 2^1031201100 is an apocalyptic number.

1031201100 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 1031201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678720680).

1031201100 is an abundant number, since it is smaller than the sum of its proper divisors (2326240260).

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

1031201100 is a wasteful number, since it uses less digits than its factorization.

1031201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

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

The square root of 1031201100 is about 32112.3200656695. The cubic root of 1031201100 is about 1010.2940358820.

Adding to 1031201100 its reverse (11021301), we get a palindrome (1042222401).

It can be divided in two parts, 1031201 and 100, that added together give a palindrome (1031301).

The spelling of 1031201100 in words is "one billion, thirty-one million, two hundred one thousand, one hundred".