1010611200 has 132 divisors (see below), whose sum is σ = 3340376480. Its totient is φ = 269475840.

The previous prime is 1010611181. The next prime is 1010611201. The reversal of 1010611200 is 21160101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010611201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70221 + ... + 83379.

Almost surely, 2^1010611200 is an apocalyptic number.

1010611200 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 1010611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670188240).

1010611200 is an abundant number, since it is smaller than the sum of its proper divisors (2329765280).

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

1010611200 is a wasteful number, since it uses less digits than its factorization.

1010611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13192 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1010611200 is about 31790.1116701404. Note that the first 3 decimals coincide. The cubic root of 1010611200 is about 1003.5246290611.

Adding to 1010611200 its reverse (21160101), we get a palindrome (1031771301).

The spelling of 1010611200 in words is "one billion, ten million, six hundred eleven thousand, two hundred".