101101201200 has 180 divisors, whose sum is σ = 366103866960. Its totient is φ = 25788111360.

The previous prime is 101101201183. The next prime is 101101201249. The reversal of 101101201200 is 2102101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 527715 + ... + 693314.

It is an arithmetic number, because the mean of its divisors is an integer number (2033910372).

Almost surely, 2^101101201200 is an apocalyptic number.

101101201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101201200 is an abundant number, since it is smaller than the sum of its proper divisors (265002665760).

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

101101201200 is a wasteful number, since it uses less digits than its factorization.

101101201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221076 (or 1221062 counting only the distinct ones).

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

Adding to 101101201200 its reverse (2102101101), we get a palindrome (103203302301).

The spelling of 101101201200 in words is "one hundred one billion, one hundred one million, two hundred one thousand, two hundred".