101301211200 has 336 divisors, whose sum is σ = 381952747904. Its totient is φ = 23025254400.

The previous prime is 101301211199. The next prime is 101301211229. The reversal of 101301211200 is 2112103101.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6073272 + ... + 6089928.

Almost surely, 2^101301211200 is an apocalyptic number.

101301211200 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 101301211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190976373952).

101301211200 is an abundant number, since it is smaller than the sum of its proper divisors (280651536704).

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

101301211200 is a wasteful number, since it uses less digits than its factorization.

101301211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870 (or 16855 counting only the distinct ones).

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

Adding to 101301211200 its reverse (2112103101), we get a palindrome (103413314301).

The spelling of 101301211200 in words is "one hundred one billion, three hundred one million, two hundred eleven thousand, two hundred".