101100010201200 has 720 divisors, whose sum is σ = 376521649732800. Its totient is φ = 25031275315200.

The previous prime is 101100010201187. The next prime is 101100010201213. The reversal of 101100010201200 is 2102010001101.

It is a happy number.

101100010201200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101100010201187) and next prime (101100010201213).

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2391124060 + ... + 2391166340.

It is an arithmetic number, because the mean of its divisors is an integer number (522946735740).

Almost surely, 2^{101100010201200} is an apocalyptic number.

101100010201200 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 101100010201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188260824866400).

101100010201200 is an abundant number, since it is smaller than the sum of its proper divisors (275421639531600).

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

101100010201200 is a wasteful number, since it uses less digits than its factorization.

101100010201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42850 (or 42836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100010201200 its reverse (2102010001101), we get a palindrome (103202020202301).

The spelling of 101100010201200 in words is "one hundred one trillion, one hundred billion, ten million, two hundred one thousand, two hundred".