101121300 has 162 divisors, whose sum is σ = 368868318. Its totient is φ = 23103360.

The previous prime is 101121281. The next prime is 101121311. The reversal of 101121300 is 3121101.

It can be written as a sum of positive squares in 3 ways, for example, as 2039184 + 99082116 = 1428^2 + 9954^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 42954 + ... + 45246.

Almost surely, 2^101121300 is an apocalyptic number.

101121300 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 101121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184434159).

101121300 is an abundant number, since it is smaller than the sum of its proper divisors (267747018).

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

101121300 is a wasteful number, since it uses less digits than its factorization.

101121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2310 counting only the distinct ones).

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

The square root of 101121300 is about 10055.9087108028. The cubic root of 101121300 is about 465.8873102720.

Adding to 101121300 its reverse (3121101), we get a palindrome (104242401).

The spelling of 101121300 in words is "one hundred one million, one hundred twenty-one thousand, three hundred".