101201101300 has 72 divisors (see below), whose sum is σ = 242891174456. Its totient is φ = 36356636160.

The previous prime is 101201101283. The next prime is 101201101357. The reversal of 101201101300 is 3101102101.

It can be written as a sum of positive squares in 12 ways, for example, as 53744221584 + 47456879716 = 231828^2 + 217846^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003887 + ... + 1100086.

Almost surely, 2^101201101300 is an apocalyptic number.

101201101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201101300 is an abundant number, since it is smaller than the sum of its proper divisors (141690073156).

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

101201101300 is a wasteful number, since it uses less digits than its factorization.

101201101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104037 (or 2104030 counting only the distinct ones).

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

Adding to 101201101300 its reverse (3101102101), we get a palindrome (104302203401).

The spelling of 101201101300 in words is "one hundred one billion, two hundred one million, one hundred one thousand, three hundred".