101111003200 has 42 divisors (see below), whose sum is σ = 248796266186. Its totient is φ = 40444400640.

The previous prime is 101111003177. The next prime is 101111003209. The reversal of 101111003200 is 2300111101.

It can be written as a sum of positive squares in 3 ways, for example, as 753831936 + 100357171264 = 27456^2 + 316792^2 .

It is a super-2 number, since 2×101111003200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101111003209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31595589 + ... + 31598788.

Almost surely, 2^101111003200 is an apocalyptic number.

101111003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111003200 is an abundant number, since it is smaller than the sum of its proper divisors (147685262986).

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

101111003200 is an equidigital number, since it uses as much as digits as its factorization.

101111003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63194399 (or 63194384 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101111003200 its reverse (2300111101), we get a palindrome (103411114301).

The spelling of 101111003200 in words is "one hundred one billion, one hundred eleven million, three thousand, two hundred".